A can complete a work in 15 days and B in 32 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 15 days and B in 32 days. If both work together, in how many days will the work be completed?

A. 17.71

B. 15.21

C. 10.21

D. 12.71

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/15 + 1/32. Time = 10.21 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 26 days and B in 42 days. If both work together, in how many days will the work be completed?

A. 23.56

B. 18.56

C. 21.06

D. 16.06

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Correct Answer: Option D

Explanation:
Combined rate = 1/26 + 1/42. Time = 16.06 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 16 days and B in 32 days. After working together for 5 days, what percentage of work remains?

A. 58.12

B. 53.12

C. 55.62

D. 60.62

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Correct Answer: Option B

Explanation:
Remaining work = (1 - 5*(1/16+1/32))×100 = 53.12%.

This question belongs to: Maths Time and Work

Question #3

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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. 51.43

B. 46.43

C. 48.93

D. 53.93

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Correct Answer: Option B

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

This question belongs to: Maths Time and Work

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