A can complete a work in 16 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

Question

A can complete a work in 16 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed?

A. 14.0

B. 8.0

C. 10.0

D. 12.0

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/16 + 1/16. Time = 1 ÷ combined rate = 8.0 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 16 days and B in 21 days. If they work together, the work will be completed in:

A. 19.08

B. 9.08

C. 24.08

D. 14.08

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Correct Answer: Option B

Explanation:
Combined rate = 1/16 + 1/21. Required time = 9.08 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 14 days and B in 23 days. If they work together, the work will be completed in:

A. 13.7

B. 23.7

C. 18.7

D. 8.7

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Correct Answer: Option D

Explanation:
Combined rate = 1/14 + 1/23. Required time = 8.7 days.

This question belongs to: Maths Time and Work

Question #3

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If 8 men and 12 boys can finish a piece of work in 10 days, while 6 men and 8 boys can finish it in 14 days, find the time taken by 1 man alone to complete the work.

A. 120 days

B. 100 days

C. 160 days

D. 140 days

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Correct Answer: Option D

Explanation:
Total work = 10 * (8M + 12B) = 14 * (6M + 8B) => 80M + 120B = 84M + 112B => 4M = 8B => 1M = 2B. Total work = 10 * (8M + 6M) = 140M. Thus, 1 man alone will take 140 days.

This question belongs to: Maths Time and Work

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