A can complete a work in 9 days and B in 16 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

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A can complete a work in 9 days and B in 16 days. If they work together, the work will be completed in:

A. 5.76

B. 20.76

C. 15.76

D. 10.76

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/9 + 1/16. Required time = 5.76 days.

This question belongs to: Maths Time and Work

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Question #1

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A and B work together. A alone can complete the work in 30 days and B alone in 30 days. What percentage of the total daily work is contributed by A?

A. 52.5

B. 55.0

C. 57.5

D. 50.0

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Correct Answer: Option D

Explanation:
A share = (1/30) / (1/30+1/30) ×100 = 50.0%.

This question belongs to: Maths Time and Work

Question #2

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A can do a work in 18 days and B in 28 days. They work together for 5 days. What percentage of work remains?

A. 64.37

B. 54.37

C. 59.37

D. 69.37

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Correct Answer: Option B

Explanation:
Remaining work = (1 - 5*(1/18+1/28)) ×100 = 54.37%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 15 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?

A. 9.38

B. 15.38

C. 13.38

D. 11.38

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Correct Answer: Option A

Explanation:
Combined rate = 1/15 + 1/25. Time = 1 ÷ combined rate = 9.38 days.

This question belongs to: Maths Time and Work

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