Time and Work Problems - Exam Prep Practice on Soulshift

Time and Work Problems - Practice Problems with Solutions

Q. A and B can complete a work in 24 days and 36 days respectively. How long will they take to complete the work together?

A. 10 days
B. 12 days
C. 15 days
D. 18 days

Solution

A's rate = 1/24, B's rate = 1/36. Combined rate = 1/24 + 1/36 = 1/15. They will complete the work in 15 days.

Correct Answer: B — 12 days

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Q. A can complete a task in 18 days, B can complete it in 27 days. How long will they take to complete the task together?

A. 9 days
B. 10 days
C. 11 days
D. 12 days

Solution

A's rate = 1/18, B's rate = 1/27. Combined rate = 1/18 + 1/27 = 1/10. They will finish the task in 10 days.

Correct Answer: A — 9 days

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Q. A can do a piece of work in 12 days, while B can do it in 15 days. If they work together, how many days will they take to finish the work?

A. 6 days
B. 7 days
C. 8 days
D. 9 days

Solution

A's rate = 1/12, B's rate = 1/15. Combined rate = 1/12 + 1/15 = 1/60. They will finish the work in 60 days.

Correct Answer: C — 8 days

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Q. A can do a work in 40 days, B can do it in 60 days. How long will they take to complete the work together?

A. 20 days
B. 24 days
C. 30 days
D. 36 days

Solution

A's rate = 1/40, B's rate = 1/60. Combined rate = 1/40 + 1/60 = 1/24. They will finish the work in 24 days.

Correct Answer: B — 24 days

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Q. A can finish a job in 25 days, B can finish it in 30 days. How long will they take to finish the job together?

A. 12 days
B. 15 days
C. 18 days
D. 20 days

Solution

A's rate = 1/25, B's rate = 1/30. Combined rate = 1/25 + 1/30 = 1/14. They will finish the job in 14 days.

Correct Answer: B — 15 days

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Q. If A can complete a work in 10 days and B can complete the same work in 15 days, how long will they take to complete the work together?

A. 5 days
B. 6 days
C. 7 days
D. 8 days

Solution

A's work rate = 1/10, B's work rate = 1/15. Together, they work at (1/10 + 1/15) = 1/6. Therefore, they will complete the work in 6 days.

Correct Answer: B — 6 days

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Q. If A can complete a work in 14 days and B can complete it in 21 days, how long will they take to complete the work together?

A. 7 days
B. 8 days
C. 9 days
D. 10 days

Solution

A's rate = 1/14, B's rate = 1/21. Combined rate = 1/14 + 1/21 = 1/10. They will finish the work in 10 days.

Correct Answer: C — 9 days

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Q. If A can do a work in 15 days and B can do it in 20 days, how long will they take to complete the work together?

A. 6 days
B. 8 days
C. 10 days
D. 12 days

Solution

A's rate = 1/15, B's rate = 1/20. Combined rate = 1/15 + 1/20 = 1/12. They will complete the work in 12 days.

Correct Answer: C — 10 days

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Q. If A can do a work in 16 days and B can do it in 24 days, how long will they take to complete the work together?

A. 8 days
B. 10 days
C. 12 days
D. 14 days

Solution

A's rate = 1/16, B's rate = 1/24. Combined rate = 1/16 + 1/24 = 1/9. They will finish the work in 9 days.

Correct Answer: C — 12 days

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Q. If A can finish a job in 20 days and B can finish the same job in 30 days, how long will it take for both A and B to finish the job together?

A. 10 days
B. 12 days
C. 15 days
D. 18 days

Solution

A's rate = 1/20, B's rate = 1/30. Combined rate = 1/20 + 1/30 = 1/12. They will finish the job in 12 days.

Correct Answer: B — 12 days

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Time and Work Problems - Practice Problems with Solutions

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