A can complete a work in 11 days and B in 14 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 11 days and B in 14 days. If they work together, the work will be completed in:

A. 11.16

B. 16.16

C. 21.16

D. 6.16

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/11 + 1/14. Required time = 6.16 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 9 days and B in 24 days. If they work together, the work will be completed in:

A. 6.55

B. 11.55

C. 16.55

D. 21.55

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Correct Answer: Option A

Explanation:
Combined rate = 1/9 + 1/24. Required time = 6.55 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 24 days and B in 48 days. After working together for 5 days, what percentage of work remains?

A. 73.75

B. 76.25

C. 71.25

D. 68.75

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/24+1/48))×100 = 68.75%.

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 15 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 14.31

B. 6.81

C. 9.31

D. 11.81

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 6.81 days.

This question belongs to: Maths Time and Work

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