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? MCQ with Answer and Explanation

Question

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. 5 days

B. 8 days

C. 10 days

D. 12 days

Answer: Option C

Solution (By JKSSB Mock Tests)

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

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Question #1

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A can complete a work in 10 days and B in 20 days. After working together for 5 days, what percentage of work remains?

A. 27.5

B. 25.0

C. 32.5

D. 30.0

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Correct Answer: Option B

Explanation:
Remaining work = (1 - 5*(1/10+1/20))×100 = 25.0%.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 19 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?

A. 9.5

B. 11.5

C. 15.5

D. 13.5

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Correct Answer: Option A

Explanation:
Combined rate = 1/19 + 1/19. Time = 1 ÷ combined rate = 9.5 days.

This question belongs to: Maths Time and Work

Question #3

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17 men can complete a work in 14 days. If 22 men work at the same rate, the work will be completed in:

A. 10.82

B. 20.82

C. 15.82

D. 25.82

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Correct Answer: Option A

Explanation:
Total work = 238 man-days. Time = 238/22 = 10.82 days.

This question belongs to: Maths Time and Work

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