A can complete a work in 19 days and B can complete the same work in 24 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 19 days and B can complete the same work in 24 days. If they work together, in how many days will the work be completed?

A. 12.6

B. 14.6

C. 16.6

D. 10.6

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/19 + 1/24. Time = 1 ÷ combined rate = 10.6 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 13 days and B in 17 days. If they work together, the work will be completed in:

A. 22.37

B. 7.37

C. 12.37

D. 17.37

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Correct Answer: Option B

Explanation:
Combined rate = 1/13 + 1/17. Required time = 7.37 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 12 days and B in 24 days. After working together for 5 days, what percentage of work remains?

A. 37.5

B. 40.0

C. 42.5

D. 45.0

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/12+1/24))×100 = 37.5%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 21 days and B in 42 days. After working together for 5 days, what percentage of work remains?

A. 69.29

B. 66.79

C. 71.79

D. 64.29

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/21+1/42))×100 = 64.29%.

This question belongs to: Maths Time and Work

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