Time and Work MCQs

Maths

Time and Work MCQs

Practice Time and Work MCQs with answers and detailed solutions. Learn work efficiency, pipes and cisterns, men and women work problems, partnership, wages, productivity and advanced aptitude questions commonly asked in competitive exams.

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Question #61
A is twice as fast as B and B is thrice as fast as C. If C alone can complete the work in 24 days, in how many days can they together finish the work?
A. 3 days
B. 2.4 days
C. 4 days
D. 2.6 days
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Correct Answer: Option B

Explanation:
Let efficiency of C = 1. Then efficiency of B = 3 * 1 = 3. Efficiency of A = 2 * 3 = 6. Total work = Efficiency of C * Time of C = 1 * 24 = 24 units. Combined efficiency of A, B and C = 6 + 3 + 1 = 10. Time taken together = 24 / 10 = 2.4 days.
This question belongs to: Maths Time and Work
Question #62
A, B and C can do a piece of work in 10, 12 and 15 days respectively. They began the work together but A left after 2 days and B left 3 days before the completion of the work. How long did the work last?
A. 8 days
B. 6 days
C. 7 days
D. 5 days
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Correct Answer: Option C

Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let the total time be x days. A worked for 2 days. B worked for (x - 3) days. C worked for x days. Total work = 2*6 + (x - 3)*5 + x*4 = 60 => 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
This question belongs to: Maths Time and Work
Question #63
A can do a piece of work in 20 days and B in 30 days. They work together for some time and then B leaves. If A completes the remaining work in 5 days, for how many days did they work together?
A. 8 days
B. 10 days
C. 9 days
D. 6 days
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Correct Answer: Option C

Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. A worked alone for 5 days: work done = 5 * 3 = 15 units. Remaining work = 60 - 15 = 45 units. This was completed by A and B together. Combined efficiency = 3 + 2 = 5 units/day. Number of days they worked together = 45 / 5 = 9 days.
This question belongs to: Maths Time and Work
Question #64
A is 40% more efficient than B. If B alone can complete a work in 14 days, then in how many days can A alone complete the same work?
A. 10 days
B. 8 days
C. 12 days
D. 9 days
Discuss
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Correct Answer: Option A

Explanation:
Let efficiency of B = 100, then efficiency of A = 140. Ratio of efficiency of A : B = 140 : 100 = 7 : 5. Total work = Efficiency of B * Time of B = 5 * 14 = 70 units. Time taken by A alone = 70 / 7 = 10 days.
This question belongs to: Maths Time and Work
Question #65
12 men can complete a work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working and after 2 days, all of them stop working. How many women should be put on the job to complete the remaining work in 3 days?
A. 15
B. 18
C. 25
D. 20
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Correct Answer: Option A

Explanation:
Total work = 12M * 4 = 48 man-days = 15W * 4 = 60 woman-days. So, 48M = 60W => 4M = 5W => 1M = 1.25W. Work done by 6 men in 2 days = 12 man-days. Remaining work = 48 - 12 = 36 man-days. Converting to woman-days: 36 * 1.25 = 45 woman-days. To complete 45 woman-days in 3 days, number of women required = 45 / 3 = 15 women.
This question belongs to: Maths Time and Work
Question #66
A and B can do a piece of work in 30 days and 36 days respectively. They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave?
A. 8 days
B. 5 days
C. 6 days
D. 4 days
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Correct Answer: Option B

Explanation:
Total work = LCM(30, 36) = 180 units. Efficiency of A = 6, B = 5. B worked alone for 25 days: work done = 25 * 5 = 125 units. Remaining work = 180 - 125 = 55 units. This was completed by A and B together. Combined efficiency = 11. Days worked together = 55 / 11 = 5 days. Thus, A left after 5 days.
This question belongs to: Maths Time and Work
Question #67
A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B leaves. The days taken by A to finish the remaining work is:
A. 4 days
B. 1 day
C. 3 days
D. 2 days
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Correct Answer: Option C

Explanation:
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. In 5 days, work done = 5 * (5 + 4) = 45 units. Remaining work = 60 - 45 = 15 units. Time taken by A to finish remaining work = 15 / 5 = 3 days.
This question belongs to: Maths Time and Work
Question #68
A, B and C can complete a piece of work in 10, 12 and 15 days respectively. They started together but A left 2 days after the start and B left 3 days before the completion of the work. How long did the work last?
A. 7 days
B. 5 days
C. 8 days
D. 6 days
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Correct Answer: Option A

Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Let total days be x. A works for 2 days. B works for (x - 3) days. C works for x days. Total work = 2*6 + (x - 3)*5 + 4*x = 60 => 12 + 5x - 15 + 4x = 60 => 9x - 3 = 60 => 9x = 63 => x = 7 days.
This question belongs to: Maths Time and Work
Question #69
A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. If A, B and C work together, in how many days will they complete the work?
A. 8 days
B. 12 days
C. 5 days
D. 10 days
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Correct Answer: Option D

Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Sum of efficiencies = 2 * (A+B+C) = 12 => Efficiency of (A+B+C) = 6 units/day. Time taken together = 60 / 6 = 10 days.
This question belongs to: Maths Time and Work
Question #70
A can complete a work in 20 days and B in 30 days. They start together but A leaves after 4 days. In how many total days will the work be completed?
A. 24 days
B. 20 days
C. 25 days
D. 16 days
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Correct Answer: Option A

Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 4 days, work completed = 4 * (3 + 2) = 20 units. Remaining work = 60 - 20 = 40 units. Time taken by B to finish remaining work = 40 / 2 = 20 days. Total days = 4 + 20 = 24 days.
This question belongs to: Maths Time and Work
Question #71
A is twice as efficient as B. If they complete a work together in 14 days, how many days will A alone take to complete it?
A. 35 days
B. 42 days
C. 28 days
D. 21 days
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Correct Answer: Option D

Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3. Total work = 14 * 3 = 42 units. Time taken by A alone = 42 / 2 = 21 days.
This question belongs to: Maths Time and Work
Question #72
If 8 men or 12 women can do a piece of work in 25 days, in how many days can 6 men and 11 women do the same work?
A. 16 days
B. 12 days
C. 18 days
D. 15 days
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Correct Answer: Option D

Explanation:
8 Men = 12 Women => 1 Man = 1.5 Women. 6 men + 11 women = 6 * 1.5 + 11 = 9 + 11 = 20 women. Since 12 women do the work in 25 days, 20 women will do it in (12 * 25) / 20 = 300 / 20 = 15 days.
This question belongs to: Maths Time and Work
Question #73
A, B and C can do a work in 6, 8 and 12 hours respectively. If they work together, how many hours will they take to complete the work?
A. 3(1/3) hours
B. 2(1/2) hours
C. 3 hours
D. 2(2/3) hours
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Correct Answer: Option D

Explanation:
Total work = LCM(6, 8, 12) = 24 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9. Time taken together = 24 / 9 = 8 / 3 = 2(2/3) hours.
This question belongs to: Maths Time and Work
Question #74
A is 50% more efficient than B. If A can complete a piece of work in 12 days, in how many days can B complete the same work?
A. 24 days
B. 15 days
C. 18 days
D. 20 days
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Correct Answer: Option C

Explanation:
Let efficiency of B = 2, then efficiency of A = 3. Total work = Efficiency of A * Time of A = 3 * 12 = 36 units. Time taken by B = 36 / 2 = 18 days.
This question belongs to: Maths Time and Work
Question #75
A and B can complete a work in 15 days and 10 days respectively. They started the work together but B left after 2 days. In how many days will A complete the remaining work?
A. 11 days
B. 9 days
C. 8 days
D. 10 days
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Correct Answer: Option D

Explanation:
Total work = LCM(15, 10) = 30 units. Efficiency of A = 2, B = 3. Combined efficiency = 5 units/day. In 2 days, work completed = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by A to complete remaining work = 20 / 2 = 10 days.
This question belongs to: Maths Time and Work
Question #76
15 men can complete a work in 12 days. How many days will 18 men take to complete the same work?
A. 8 days
B. 9 days
C. 10 days
D. 11 days
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Correct Answer: Option C

Explanation:
Using M1 * D1 = M2 * D2: 15 * 12 = 18 * D2 => 180 = 18 * D2 => D2 = 10 days.
This question belongs to: Maths Time and Work
Question #77
A and B can do a piece of work in 20 days and 12 days respectively. A started the work alone and then after 4 days B joined him till the completion of the work. How long did the work last?
A. 10 days
B. 8 days
C. 6 days
D. 12 days
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Correct Answer: Option A

Explanation:
Total work = LCM(20, 12) = 60 units. Efficiency of A = 3, B = 5. In 4 days, A alone completes = 4 * 3 = 12 units. Remaining work = 60 - 12 = 48 units. Combined efficiency of A and B = 3 + 5 = 8. Time taken together for remaining work = 48 / 8 = 6 days. Total duration of work = 4 + 6 = 10 days.
This question belongs to: Maths Time and Work
Question #78
A can do a work in 24 days and B in 32 days. If they work together and get Rs. 5600 for the work, what is B's share?
A. Rs. 3200
B. Rs. 3000
C. Rs. 2400
D. Rs. 2800
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Correct Answer: Option C

Explanation:
Ratio of time taken by A : B = 24 : 32 = 3 : 4. Ratio of efficiency of A : B = 4 : 3. Total ratio parts = 4 + 3 = 7. B's share = (3 / 7) * 5600 = 3 * 800 = Rs. 2400.
This question belongs to: Maths Time and Work
Question #79
If 5 men and 2 boys can do in a day 4 times as much work as a man and a boy together, find the ratio of the efficiency of a man to that of a boy.
A. 4 : 1
B. 3 : 1
C. 1 : 2
D. 2 : 1
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Correct Answer: Option D

Explanation:
Given: 5M + 2B = 4 * (1M + 1B) => 5M + 2B = 4M + 4B => 1M = 2B => M / B = 2 / 1. The ratio of efficiency of a man to a boy is 2 : 1.
This question belongs to: Maths Time and Work
Question #80
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start together but C leaves 4 days before the completion of the work. In how many days was the work completed?
A. 12 days
B. 11 days
C. 10 days
D. 13 days
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Correct Answer: Option B

Explanation:
Total work = LCM(24, 30, 40) = 120 units. Efficiency of A = 5, B = 4, C = 3. Let the total number of days be x. A and B work for x days, while C works for (x - 4) days. 5x + 4x + 3(x - 4) = 120 => 12x - 12 = 120 => 12x = 132 => x = 11 days.
This question belongs to: Maths Time and Work

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