A can complete a work in 21 days and B can complete the same work in 21 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 21 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?

A. 12.5

B. 14.5

C. 10.5

D. 16.5

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/21 + 1/21. Time = 1 ÷ combined rate = 10.5 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 16 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed?

A. 14.55

B. 10.55

C. 12.55

D. 16.55

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Correct Answer: Option B

Explanation:
Combined rate = 1/16 + 1/31. Time = 1 ÷ combined rate = 10.55 days.

This question belongs to: Maths Time and Work

Question #2

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23 men can complete a work in 26 days. If 31 men work at the same rate, how many days are required?

A. 26.79

B. 19.29

C. 24.29

D. 21.79

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Correct Answer: Option B

Explanation:
Total work = 598 man-days. Days = 19.29.

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 12 days and B in 22 days. They work together for 5 days. What percentage of work remains?

A. 45.61

B. 50.61

C. 40.61

D. 35.61

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/12+1/22)) ×100 = 35.61%.

This question belongs to: Maths Time and Work

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