TIME AND WORK EXAMPLES QUESTIONS PART 2
51. 12 Men or 18 women can reap a field in 14 days. The number of days that 8 men and 16 women will take to reap it?
• A. 5
• B. 7
• C. 8
• D. 9
Answer & Explanation
Answer: Option D
Explanation:
12 men = 18 women or 1 man = 3/2 women
Therefore 8 men + 16 women = (8 × 3/2 + 16) women i.e.., 28 women
Now 18 women can reap the field in 14 days
Therefore, 28 women can reap it in = 9 days
52. If 3 men or 4 women can construct a wall in 43 days, then the number of days that 7 men and 5 women take to construct it is?
• A. 12
• B. 18
• C. 24
• D. 30
Answer & Explanation
Answer: Option A
Explanation:
3 men = 4 women or 1 man = 4/3 women
Therefore 7 men + 5 women = (7 × 4/3 + 5)women i.e.., 43/3 women
4 women can construct the wall in 43 days
Therefore, 43/3 women can construct it in = 12 days
53. 10 men can finish a piece of work in 10 days. Whereas it takes 12 women to finish it in 10 days if 15 men and 6 women undertake to complete the work. How many days will they take to complete it?
• A. 2
• B. 4
• C. 5
• D. 11
Answer & Explanation
Answer: Option C
Explanation:
10 men = 12 women or 1 man = 6/5 women
Therefore 15 men + 6 women = (15 x 6/5 +6)women i.e,, 24 women
Now 12 women can do the work in 10 days
Therefore, 24 women can do it in = 5 days
54. 8 Children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by man to finish the work. In how many days will 12 men finish the same work?
• A. 8
• B. 15
• C. 9
• D. 12
Answer & Explanation
Answer: Option D
Explanation:
2 children = 1 man
Therefore (8 children +12 men) = 16 men
Now less men more days 12: 16 : : 9 : x
Therefore, x = (144/12) = 12 days
55. A can do a piece of work in 10 days and B can do the same piece of work in 20 days. They start the work together but after 5 days. A leaves off B will do the remaining piece of work in?
• A. 5 days
• B. 6 days
• C. 8days
• D. 10days
Answer & Explanation
Answer: Option A
Explanation:
(A +B)’s 5 days work = 5 (1/10 +1/20) = ¾
Remaining work =(1 -3/4) = ¼ 1/20work is done by B in 1 day.
Therefore, ¼ work is done by B in (20 x 1/4)i.e.., 5 days
56. A and B can together finish a work in 30 days. They worked for it for 20 days and then B left. The remaining work was done by A alone in 20 more days. Alone can finish the work in?
• A. 48 days
• B. 50days
• C. 54 days
• D. 60 days
Answer & Explanation
Answer: Option D
Explanation:
(A+ B)’s 20 day’s work =(20 x 1/30) = 2/3
Remaining work = (1 -2/3) = 1/3 1/3 work is done by A in 20 days
Whole work can be done by A in (3 x 20)days i.e.., 60 days
57. A can complete a job in 9 days. B in 10 days and C in 15 days. B and C start the work and are forced to leave after 2 days. The time taken to complete the remaining work is?
• A. 6 days
• B. 9 days
• C. 10 days
• D. 13 days
Answer & Explanation
Answer: Option A
Explanation:
(B + C)’s 2 day’s work = 2 (1/10 + 1/15) = 1/3 Remaining work = (1 – 1/3) = 2/3 1/9 work is done by A in 1 day Therefore 2/3 work is done by A in (9 x 2/3) = 6 days
58. A, B and C together earn Rs.150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. The daily earning of C is?
• A. Rs. 75
• B. Rs.56
• C. Rs. 34
• D. Rs.20
Answer & Explanation
Answer: Option D
Explanation:
B’s daily earning = RS.(150 -94) = Rs. 56
A’s daily earning = Rs.(150 -76) = Rs.74
C’s daily earning = Rs.[150 – (56+74)] = Rs. 20
59. A can do a certain job in 12 days. B is 60% more efficient than A. Then Number of days it takes B to do the same piece of work is?
• A. 6
• B. 6 ¼
• C. 7 ½
• D. 8
Answer & Explanation
Answer: Option C
Explanation:
Ratio of times taken by A and B = 160 : 100 = 8 : 5
If A takes 8 days B takes 5 days
If A takes 12 days, B takes =(5/8 x 12) = 7 ½ days
60. A can do (1/3) of a work in 5 days and B can do (2/5) of the work in 10 days. In how many days both A and B together can do the work?
• A. 7 ¾
• B. 8 4/5
• C. 9 3/8
• D. 10
Answer & Explanation
Answer: Option C
Explanation:
1/3 of work is done by A in 5 days
Therefore, whole work will be done by A in 15 days
2/5 of work is done by B in 10 days
Whole work will be done by B in (10 x 5/2) i.e.., 25 days
Therefore (A + B)’s 1 day’s work = (1/15 + 1/25) = 8/75
So both together can finish 75/8 days i.e.., 9 3/8 days
61. A, B and C contract a work for Rs. 550. Together A and B are to do 7/11 of the work. The share of C should be?
• A. Rs.183 1/3
• B. Rs.200
• C. Rs. 300
• D. Rs.400
Answer & Explanation
Answer: Option B
Explanation:
Work to be done by C = (1 – 7/11) = 4/11
Therefore, (A +B) = C = 7/11 : 4/11 = 7 : 4
Therefore C’s share = Rs.(550 x 4/11) = Rs. 200
62. A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the work in 42 days. The Two together could complete the work in?
• A. 24 days
• B. 25 days
• C. 30 days
• D. 35 days
Answer & Explanation
Answer: Option C
Explanation:
A’s 10 days work = (10 x 1/80) = 1/8
Remaining work = (1 -1/8) = 7/8
Therefore 7/8 work is done by A in 42 days.
Whole work will be done by A in (42 x 8/7)i.e.., 48 days
Therefore, (A+ B)’s 1 day work = (1/80 + 1/48) = 8/240 = 1/30.
A and B together can finish it in 30days.
63. Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him in all the work would be completed in
• A. 7 days
• B. 9days
• C. 11 days
• D. None of these
Answer & Explanation
Answer: Option B
Explanation:
Umesh’s 5 day’s work = 5 x 1/15 = 1/3
Remaining work = (1 – 1/3) = 2/3 (1/10 +1/ 15) work is done by both in 1 day
Therefore 2/3 work is done by both in (6 x 2/3) = 4days.
The work was completed in 9 days.
64. Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined them. In how many days will all of them together complete remaining work?
• A. 2
• B. 4
• C. 5
• D. 6
Answer & Explanation
Answer: Option B
Explanation:
1 man’s one day’s work = 1/96 12 men’s 3 day’s work = (3 x 1/8) = 3/8
Remaining work = (1 – 3/8) = 5/8 15 men’s 1 day’s work = 15/96
Now 15/96 work is done by them in 1day
Therefore 5/8 work will be done by them in (96/15 x 5/8) i.e., 4 days
65. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
• A. 11 days
• B. 13 days
• C. 20 3/17 days
• D. None of these
Answer & Explanation
Answer: Option B
Explanation:
Ratio of times taken by A and B = 100:130 = 10:13
Suppose B takes x days to do the work.
x = (23 * 13)/10 = 299/10
A's 1 day work = 1/23; B's 1 day work = 10/299
(A + B)'s 1 day work = (1/23 + 10/299) = 1/13
A and B together can complete the job in 13 days.
66. A can finish a work in 18 days B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
• A. 5
• B. 5 1/2
• C. 6
• D. 8
Answer & Explanation
Answer: Option C
Explanation:
B's 10 day's work = 1/15 * 10 = 2/3
Remaining work = (1 - 2/3) = 1/3
Now, 1/18 work is done by A in 1 day.
1/3 work is done by A in (18 * 1/3) = 6 days.
67. X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
• A. 6 days
• B. 10 days
• C. 15 days
• D. 20 days
Answer & Explanation
Answer: Option B
Explanation:
Work done by X in 4 days = (1/20 * 4) = 1/5
Remaining work = (1 - 1/5) = 4/5
(X + Y)'s 1 day work = (1/20 + 1/12) = 2/15
Now, 2/15 work is done by X and Y in 1 day.
So, 4/5 work will be done by X and Y in (15/2 * 4/5) = 6 days.
Hence, total time taken = (6 + 4) = 10 days.
68. A can do a price of work in 30days while B can do it in 40 days. In how many days can A and B working together do it?
• A. 70 Days
• B. 42 ¾ days
• C. 27 1/7 days
• D. 17 1/7 days
Answer & Explanation
Answer: Option D
Explanation:
(A +B)’s 1 day’s work = (1/30 + 1/40) = 7/120
Time is taken by both to finish the work = 120/7 days
= 17 1/7 days.
69. A and B can together do a price of work in 15 days. B alone can do it in 20 days. In how many days can A alone do it?
• A. 30 days
• B. 40 days
• C. 45 days
• D. 60days
Answer & Explanation
Answer: Option D
Explanation:
A’s 1 day’s work = (1/15 – 1/20) = 1/60
Therefore, A alone can finish = 60 days
70. Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
• A. 7 hrs 30 min
• B. 8 hrs
• C. 8 hrs 15 min
• D. 8 hrs 25 min
Answer & Explanation
Answer: Option C
Explanation:
Number of pages typed by Ronald in 1 hour = 32/6 = 16/3
Number of pages typed by Elan in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3
Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min
71. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is?
• A. 15
• B. 16
• C. 18
• D. 25
Answer & Explanation
Answer: Option B
Explanation:
Ratio of times taken by Sakshi and Tanya = 125:100 = 5:4
Suppose Tanya takes x days to do the work.
5:4 :: 20:x => x= 16 days.
Hence, Tanya takes 16 days to complete the work.
72. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?
• A. 8 hours
• B. 10 hours
• C. 12 hours
• D. 24 hours
Answer & Explanation
Answer: Option C
Explanation:
A's 1 hour work = 1/4;
(B + C)'s 1 hour work = 1/3;
(A + C)'s 1 hour work = 1/2
(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12
B's 1 hour work = (7/12 + 1/2) = 1/12
B alone will take 12 hours to do the work.
73. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in?
• A. 4 days
• B. 6 days
• C. 8 days
• D. 12 days
Answer & Explanation
Answer: Option C
Explanation:
(A + B + C)'s 1 day work = 1/6;
(A + B)'s 1 day work = 1/8
(B + C)'s 1 day work = 1/12
(A + C)'s 1 day work = (2 * 1/6) - (1/8 + 1/12)
= (1/3 - 5/24) = 1/8
So, A and C together will do the work in 8 days.
74. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 days. If A, B and C work together, they will complete the work in?
• A. 5 days
• B. 7 5/6 days
• C. 10 days
• D. 15 2/3 days
Answer & Explanation
Answer: Option C
Explanation:
(A + B)'s 1 day work = 1/12;
(B + C)'s 1 day work = 1/15;
(A + C)'s 1 day work = 1/20
Adding, we get: 2(A + B + C)'s 1 day work = (1/12 + 1/15 + 1/20) = 1/5
(A + B + C)'s 1 day work = 1/10
So, A, B and C together can complete the work in 10 days.
75. Kim can do a work in 3 days while David can do the same work in 2 days. Both of them finish the work together and get Rs. 150. What is the share of Kim?
• A. Rs. 30
• B. Rs. 60
• C. Rs. 70
• D. Rs. 75
Answer & Explanation
Answer: Option B
Explanation:
Kim's wages : David's wages = Kim's 1 day work : David's 1 day work = 1/3 : 1/2 = 2:3
Kim's share = 2/5 * 150 = Rs. 60
76. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
• A. Rs. 375
• B. Rs. 400
• C. Rs. 600
• D. Rs. 800
Answer & Explanation
Answer: Option B
Explanation:
C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages
1/6 : 1/8 : 1/24 = 4:3:1
C's share = 1/8 * 3200 = Rs. 400
77. A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
• A. 10 days
• B. 11 days
• C. 15 days
• D. 20 days
Answer & Explanation
Answer: Option C
Explanation:
B's 1 day work = (1/12 - 1/20) = 1/30
Now, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15
So, A and B together will complete the work in 15 days.
78. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days A do the work if he is assisted by B and C on every third day?
• A. 12 days
• B. 15 days
• C. 16 days
• D. 18 days
Answer & Explanation
Answer: Option B
Explanation:
A's 2 day's work = (1/20 * 2) = 1/10
(A + B + C)'s 1 day work = (1/20 + 1/30 + 1/60) = 1/10
Work done in 3 days = (1/10 + 1/10) = 1/5
Now, 1/5 work is done in 3 days.
Whole work will be done in (3 * 5) = 15 days.
79. 20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
• A. 3:4
• B. 4:3
• C. 5:3
• D. Data inadequate
Answer & Explanation
Answer: Option B
Explanation:
(20 * 16) women can complete the work in 1 day.
1 woman's 1 day work = 1/320
(16 * 15) men can complete the work in 1 day
1 man's 1 day work = 1/240
So, required ratio = 1/240 : 1/320 = 4:3.
80. 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
• A. 90
• B. 125
• C. 145
• D. 150
• E. None of these
Answer & Explanation
Answer: Option E
Explanation:
1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/6
15 women's 1 day work = (1/6 - 10/100) = 1/15
1 woman's 1 day work = 1/225
1 woman alone can complete the work in 225 days.
81. 12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many women should be put on the job to complete the remaining work, if it so to be completed in 3 days?
• A. 15
• B. 18
• C. 22
• D. Data inadequate
• E. None of these
Answer & Explanation
Answer: Option A
Explanation:
1 man's 1 day work = 1/48; 1 woman's 1 day work = 1/60.
6 men's 2 day's work = 6/48 * 2 = 1/4.
Remaining work = (1 - 1/4) = 3/4
Now, 1/60 work is done in 1 day by 1 woman.
So, 3/4 work will be done in 3 days by (60 * 3/4 * 1/3) = 15 women.
82. A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
• A. 1
• B. 4
• C. 19
• D. 41
Answer & Explanation
Answer: Option D
Explanation:
(1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48
Remaining work = (1 - 7/48) = 41/48
Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48
Number of boys required = 41/48 * 41 = 41.
83. 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days?
• A. 7
• B. 8
• C. 12
• D. Cannot be determined
• E. None of these
Answer & Explanation
Answer: Option A
Explanation:
Let 1 woman's 1 day work = x.
Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4.
So, (3x/2 + 4x + + 6x/4) = 1/7
28x/4 = 1/7 => x = 1/49
1 woman alone can complete the work in 49 days.
So, to complete the work in 7 days, number of women required = 49/7 = 7.
84. 12 men complete a work in 9 days. After they have worked for 6 days, 6 more men join them. How many days will they take to complete the remaining work?
• A. 2 days
• B. 3 days
• C. 4 days
• D. 5 days
Answer & Explanation
Answer: Option A
Explanation:
1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 * 6 = 2/3
Remaining work = 1 - 2/3 = 1/3
18 men's 1 day work = 1/108 * 18 = 1/6
1/6 work is done by them in 1 day.
1/3 work is done by them in 6 * 1/3 = 2 days.
85. A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
• A. 4 hours
• B. 6 hours
• C. 8 hours
• D. 12 hours
Answer & Explanation
Answer: Option B
Explanation:
Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work
86. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
• A. 3
• B. 5
• C. 7
• D. Cannot be determined
Answer & Explanation
Answer: Option C
Explanation:
1 women's 1 day work = 1/70
1 child's 1 day work = 1/140
(5 women + 10 children)'s 1 day work
= (5/10 + 10/140) = (1/14 + 1/14) = 1/7
5 women and 10 children will complete the work in 7 days.
87. If 12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
• A. 2:1
• B. 3:1
• C. 3:2
• D. 5:4
Answer & Explanation
Answer: Option A
Explanation:
Let 1 man's 1 day work = x and 1 boy's 1 day work = y.
Then, 12x + 16y = 1/5 and 13x + 24y = 1/4
Solving these two equations, we get:
x = 1/100 and y = 1/200
Required ratio = x:y = 1/100 : 1/200 = 2:1.
88. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
• A. 35
• B. 40
• C. 45
• D. 50
Answer & Explanation
Answer: Option B
Explanation:
Let 1 man's 1 day work = x and 1 woman's 1 day work = y.
Then, 4x + 6y = 1/8 and 3x + 7y = 1/10
Solving these two equations, we get:
x = 11/400 and y = 1/400
1 woman's 1 day work = (1/400 * 10) = 1/40.
Hence, 10 women will complete the work in 40 days.
89. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
• A. 4 days
• B. 5 days
• C. 6 days
• D. 7 days
Answer & Explanation
Answer: Option A
Explanation:
Let 1 men's 1 day work = x and 1 boy's 1 day work = y.
Then, 6x + 8y = 1/10 and 26x + 48y = 1/2
Solving these two equations, we get:
x = 1/100 and y = 1/200
(15 men + 20 boys)'s 1 day work = (15/100 + 20/200) = 1/4
15 men and 20 boys can do the work in 4 days.
90. Sreedhar and Sravan together can do a work in 25 days. With the help of Pavan, they completed the work in 8 days and earned Rs. 225. What is the share of Sravan, if Sreedhar alone can do the work in 75 days?
• A. Rs. 64
• B. Rs. 52
• C. Rs. 48
• D. Rs. 58
• E. None of these
Answer & Explanation
Answer: Option C
Explanation:
Sravan's one day's work = 1/25 - 1/75 = 2/75
Sravan worked for 8 days. So, his 8 days work = 8 * 2/75 = 16/75
Sravan completed 16/75th of total work.
So, his share is 16/75 * 225 = Rs. 48.
91. Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working together to complete the work?
• A. (64 * 36)/13 days
• B. (32 * 36)/13 days
• C. (96 * 36)/13 days
• D. (128 * 36)/13 days
• E. None of these
Answer & Explanation
Answer: Option A
Explanation:
12 men take 32 days to complete the work.
One man will take (12 * 32) days to complete it.
Similarly one woman will take (16 * 36) days to complete it and one boy will take (48 * 16) days to complete it.
One man, one woman and one boy working together will complete = 1/(12 * 32) + 1/(16 * 36) + 1/(48 * 16)
= 1/(4 * 3 * 16 * 2) + 1/(16 * 4 * 9) + 1/(16 * 3 * 4 * 4)
= 1/64(1/6 + 1/9 + 1/12) = 1/64 * 13/36 of the work in a day.
They will take (64 * 36)/13 days to complete the work working together.
92. A and B can do a work in 12 days and 36 days respectively. If they work on alternate days beginning with B, in how many days will the work be completed?
• A. 20 2/3
• B. 9
• C. 24
• D. 26 5/9
• E. None of these
Answer & Explanation
Answer: Option E
Explanation:
The work done in the first two days = 1/12 + 1/36 = 1/9
so, 9 such two days are required to finish the work.
i.e., 18 days are required to finish the work.
93. A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?
• A. 5 days
• B. 6 days
• C. 8 days
• D. 9 days
Answer & Explanation
Answer: Option B
Explanation:
A's 1 day work = 1/10; B's 1 day work = 1/15
(A + B)'s 1 day work = (1/10 + 1/15) = 1/6
So, both together will finish the work in 6 days.
94. A man can do a job in 15 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together?
• A. Less than 6 days
• B. Exactly 6 days
• C. Approximately 6.4 days
• D. More than 10 days
Answer & Explanation
Answer: Option C
Explanation:
1 day work of the three persons = (1/15 + 1/20 + 1/25) = 47/300
So, all three together will complete the work in 300/47 = 6.4 days
95. Two men can complete a piece of work in four days. Two women can complete the same work in eight days. Four boys can complete the same work in five days. If four men, eight women and 20 boys work together in how many days can the work be completed?
• A. 1/2 day
• B. 1(1/2) days
• C. 1 day
• D. 2 days
• E. None of these
Answer & Explanation
Answer: Option A
Explanation:
Two men take four days to complete the work four men would take (2 * 4)/4 = 2 days to complete it.
Similarly four women would take two days to complete it and 20 children would take one day to complete it.
All the three groups working togerther will complete 1/2 + 1/2 + 1/1 work in a day
= 2 times the unit work in a day.
They will take 1/2 a day to complete it working together.
96. Twelve men and six women together can complete a piece of work in four days. The work done by a women in one day is half the work done by a man in one day. If 12 men and six women started working and after two days, six men left and six women joined, then in hoe many more days will the work be completed?
• A. 1(1/2)
• B. 1
• C. 2
• D. 2(1/2)
• E. None of these
Answer & Explanation
Answer: Option D
Explanation:
Work done by a women in one day = 1/2 (work done by a man/day)
One women's capacity = 1/2(one man's capacity)
One man = 2 women.
12 men = 24 women.
12 men + 6 women = 30 women
30 women can complete the work in four days. In the first 2 days they can complete 1/2 of the work. Remaining part of the work = 1/2. If 6 men leave and 6 new women join, then new work force = 30 women - 12 women + 6 women = 24 women.
Time taken by them to complete the remaining work = 1/2 (Time taken by 24 women to complete the work) = 1/2 * (30 * 4)/24 = 2 (1/2) days.
97. A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got Rs.242. What is the share of C?
• A. Rs.55
• B. Rs.44
• C. Rs.66
• D. Rs.77
• E. None of these
Answer & Explanation
Answer: Option B
Explanation:
The ratio of their working rates = 1/7 : 1/14 : 1/21 = 6 : 3 : 2.
Since, they work together, the share of C
= 2/11 * 242 = Rs.44
98. X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
• A. 60
• B. 40
• C. 50
• D. 70
• E. None of these
Answer & Explanation
Answer: Option A
Explanation:
We have M1 D1 = M2 D2
120X = (X - 20)180
=> 2X = (X - 20) 3 => 2X = 3X - 60
=> X = 60
99. Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?
• A. 30
• B. 28
• C. 24
• D. 33
• E. None of these
Answer & Explanation
Answer: Option E
Explanation:
Let the number of hours working per day initially be x. we have M1 D1 H1= M2 D2 H2
30 * 24 * x = 20 * d2 * (4x)/3 => d2 = (30 * 24 * 3)/(24 * 4) = 27 days.
100. Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
• A. 60
• B. 90
• C. 70
• D. 80
• E. None of these.
Answer & Explanation
Answer: Option D
Explanation:
We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)
(60 * 30 * 8)/ 200 = (45 * D2 * 6) / 300
D2 = (60 * 30 * 8 * 300) / (200 * 45 * 6) => D2 = 80.
Comments
Post a Comment