A can complete a work in 13 days and B can complete the same work in 28 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 13 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?

A. 8.88

B. 10.88

C. 14.88

D. 12.88

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/13 + 1/28. Time = 1 ÷ combined rate = 8.88 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 14 days and B in 28 days. After working together for 5 days, what percentage of work remains?

A. 46.43

B. 53.93

C. 51.43

D. 48.93

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/14+1/28))×100 = 46.43%.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 20 days and B in 40 days. After working together for 5 days, what percentage of work remains?

A. 62.5

B. 70.0

C. 65.0

D. 67.5

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/20+1/40))×100 = 62.5%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 20 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?

A. 10.0

B. 16.0

C. 14.0

D. 12.0

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Correct Answer: Option A

Explanation:
Combined rate = 1/20 + 1/20. Time = 1 ÷ combined rate = 10.0 days.

This question belongs to: Maths Time and Work

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