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.

446
Total Questions

Practice Questions

Page 1 of 23
Question #1
A can complete a piece of work in 12 days, and B can complete the same work in 24 days. If they work together, how many days will it take them to complete the work?
A. 10 days
B. 8 days
C. 14 days
D. 6 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
A's 1-day work = 1/12, B's 1-day work = 1/24. Combined 1-day work = 1/12 + 1/24 = 3/24 = 1/8. Therefore, they will complete the work together in 8 days.
This question belongs to: Maths Time and Work
Question #2
A and B together can do a piece of work in 6 days. If A alone can do it in 18 days, in how many days can B alone complete the work?
A. 20 days
B. 12 days
C. 9 days
D. 15 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Combined 1-day work = 1/6. A's 1-day work = 1/18. B's 1-day work = 1/6 - 1/18 = 2/18 = 1/9. Therefore, B alone can complete the work in 9 days.
This question belongs to: Maths Time and Work
Question #3
A is twice as efficient as B. If they complete a piece of work together in 14 days, how many days will A alone take to finish it?
A. 21 days
B. 35 days
C. 28 days
D. 42 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Let B's efficiency be 1 unit/day, so A's efficiency is 2 units/day. Combined efficiency = 3 units/day. Total work = 3 * 14 = 42 units. Time taken by A alone = 42 / 2 = 21 days.
This question belongs to: Maths Time and Work
Question #4
12 men can complete a work in 8 days. How many days will 16 men take to complete the same work?
A. 6 days
B. 5 days
C. 4 days
D. 7 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Using the formula M1 * D1 = M2 * D2: 12 * 8 = 16 * D2. 96 = 16 * D2. D2 = 96 / 16 = 6 days.
This question belongs to: Maths Time and Work
Question #5
A, B, and C can complete a work in 10, 12, and 15 days respectively. If they all work together, how long will they take to finish the work?
A. 5 days
B. 6 days
C. 4 days
D. 3 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Total work (LCM of 10, 12, 15) = 60 units. Efficiencies: A = 6, B = 5, C = 4. Total combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.
This question belongs to: Maths Time and Work
Question #6
A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together, in how many days will the work be completed?
A. 6 days
B. 5 days
C. 8 days
D. 9 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
A's 1-day work = 1/10, B's 1-day work = 1/15. Combined 1-day work = 1/10 + 1/15 = 5/30 = 1/6. Therefore, they will complete the work together in 6 days.
This question belongs to: Maths Time and Work
Question #7
A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?
A. 9 days
B. 7 days
C. 8 days
D. 6 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Combined 1-day work = 1/4. A's 1-day work = 1/12. B's 1-day work = 1/4 - 1/12 = 2/12 = 1/6. Therefore, B alone can complete the work in 6 days.
This question belongs to: Maths Time and Work
Question #8
A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
A. 54 days
B. 36 days
C. 45 days
D. 27 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Ratio of work done by A and B = 2:1. Let B's 1-day work be x, so A's 1-day work is 2x. Together, 3x = 1/18, which means x = 1/54. A's 1-day work = 2 * (1/54) = 1/27. Thus, A alone completes it in 27 days.
This question belongs to: Maths Time and Work
Question #9
A, B, and C can complete a piece of work in 12, 15, and 20 days respectively. In how many days will they finish it together?
A. 5 days
B. 6 days
C. 8 days
D. 4 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Total work = LCM of 12, 15, and 20 = 60 units. Efficiency of A = 5, B = 4, C = 3. Total efficiency = 5 + 4 + 3 = 12 units/day. Days required = 60 / 12 = 5 days.
This question belongs to: Maths Time and Work
Question #10
A can do a work in 20 days and B in 30 days. They work together for 7 days and then both leave. Then C alone finishes the remaining work in 10 days. In how many days will C alone finish the whole work?
A. 25 days
B. 24 days
C. 30 days
D. 40 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. Combined efficiency = 5 units/day. In 7 days, work done = 7 * 5 = 35 units. Remaining work = 60 - 35 = 25 units. C's efficiency = 25 units / 10 days = 2.5 units/day. Days for C to complete total work = 60 / 2.5 = 24 days.
This question belongs to: Maths Time and Work
Question #11
12 men can complete a work in 8 days. How many days will it take for 16 men to complete the same work?
A. 7 days
B. 6 days
C. 5 days
D. 4 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Using M1 * D1 = M2 * D2: 12 * 8 = 16 * D2. 96 = 16 * D2. D2 = 96 / 16 = 6 days.
This question belongs to: Maths Time and Work
Question #12
A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the remaining work in 42 days. In how many days will A and B together complete the work?
A. 24 days
B. 35 days
C. 25 days
D. 30 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
A's 10-day work = 10/80 = 1/8. Remaining work = 7/8. B completes 7/8 work in 42 days, so B completes full work in 42 * (8/7) = 48 days. Combined 1-day work = 1/80 + 1/48 = (3 + 5)/240 = 8/240 = 1/30. They finish together in 30 days.
This question belongs to: Maths Time and Work
Question #13
If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same work?
A. 2 days
B. 4 days
C. 5 days
D. 3 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
3 Men = 6 Women => 1 Man = 2 Women. 12 Men + 8 Women = 12(2 Women) + 8 Women = 32 Women. If 6 women do it in 16 days, then 32 women do it in (6 * 16) / 32 = 3 days.
This question belongs to: Maths Time and Work
Question #14
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. In how many days will A, B, and C finish it working together?
A. 8 days
B. 5 days
C. 10 days
D. 12 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
2(A + B + C)'s 1-day work = 1/12 + 1/15 + 1/20 = 12/60 = 1/5. Therefore, (A + B + C)'s 1-day work = 1/10. Working together, they finish in 10 days.
This question belongs to: Maths Time and Work
Question #15
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?
A. 11 days
B. 12 days
C. 13 days
D. 14 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Total work = LCM(24, 30, 40) = 120 units. Efficiencies: A = 5, B = 4, C = 3. Total efficiency = 12 units/day. Since C left 4 days before completion, add the work C would have done in those 4 days: 120 + (3 * 4) = 132 units. Total days = 132 / 12 = 11 days.
This question belongs to: Maths Time and Work
Question #16
A can complete a piece of work in 12 days, while B can complete the same work in 15 days. If they work together, how many days will they take to complete the work?
A. 5 days
B. 6(2/3) days
C. 6 days
D. 7 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Let the total work be the LCM of 12 and 15, which is 60 units. Efficiency of A = 60 / 12 = 5 units/day. Efficiency of B = 60 / 15 = 4 units/day. Combined efficiency of A and B = 5 + 4 = 9 units/day. Time taken together = 60 / 9 = 20 / 3 = 6(2/3) days.
This question belongs to: Maths Time and Work
Question #17
A, B and C can complete a work in 10, 12 and 15 days respectively. They start working together. Find the number of days required to complete the work.
A. 3 days
B. 5 days
C. 6 days
D. 4 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.
This question belongs to: Maths Time and Work
Question #18
A is twice as efficient as B and can complete a piece of work in 15 days less than B. In how many days can B alone complete the work?
A. 30 days
B. 45 days
C. 25 days
D. 20 days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Ratio of efficiency of A to B = 2 : 1. Ratio of time taken by A to B = 1 : 2. Difference in time = 2 - 1 = 1 part, which corresponds to 15 days. Therefore, time taken by B = 2 * 15 = 30 days.
This question belongs to: Maths Time and Work
Question #19
12 men can complete a project in 8 days. How many extra men are required to complete the same project in 6 days?
A. 4
B. 8
C. 6
D. 16
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Using M1 * D1 = M2 * D2: 12 * 8 = M2 * 6. M2 = 96 / 6 = 16 men. Extra men required = 16 - 12 = 4.
This question belongs to: Maths Time and Work
Question #20
A and B together can do a piece of work in 8 days, B and C together in 12 days, and C and A together in 16 days. In how many days can A, B and C together finish the work?
A. 5(5/13) days
B. 7(5/13) days
C. 8(2/13) days
D. 6(6/13) days
Discuss
Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Total work = LCM(8, 12, 16) = 48 units. Efficiency of (A+B) = 6, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2 * (A+B+C) = 13, so efficiency of (A+B+C) = 13/2. Time taken = 48 / (13/2) = 96 / 13 = 7(5/13) days.
This question belongs to: Maths Time and Work

More Maths Topics

Average MCQs
Compound Interest MCQs
Percentage MCQs
Profit And Loss MCQs
Ratio and Proportion MCQs
Simple Interest MCQs
Time Speed and Distance MCQs
Today's Top Topics
Simple Interest 1090 Profit And Loss 616 Average 965 Time Speed and Distance 761 Compound Interest 571
Explore Subjects
Computer 5279 Reasoning 2064 Maths 5575 Static General Knowledge 6362 Science 4430
Practice Mix
Which of the following is a classic Tennis grand slam tournament held on clay courts?
What will come in place of the question mark (?) in the following number series? 0, 6, 24, 60, 120, ?
She said, 'If I were you, I would accept the offer.'
What is the capital of Uzbekistan?
The tournament ______ they organized was successful.