A can complete a work in 16 days and B can complete the same work in 26 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 16 days and B can complete the same work in 26 days. If they work together, in how many days will the work be completed?

A. 15.9

B. 13.9

C. 11.9

D. 9.9

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/16 + 1/26. Time = 1 ÷ combined rate = 9.9 days.

This question belongs to: Maths Time and Work

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Question #1

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15 men can complete a work in 13 days. If 19 men work at the same rate, in how many days will the work be completed?

A. 16.26

B. 14.26

C. 12.26

D. 10.26

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Correct Answer: Option D

Explanation:
Total work = 15 × 13 = 195 man-days. Required days = 195/19 = 10.26 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 17 days and B in 34 days. After working together for 5 days, what percentage of work remains?

A. 55.88

B. 60.88

C. 63.38

D. 58.38

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/17+1/34))×100 = 55.88%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 29 days and B in 27 days. If both work together, in how many days will the work be completed?

A. 18.98

B. 13.98

C. 21.48

D. 16.48

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Correct Answer: Option B

Explanation:
Combined rate = 1/29 + 1/27. Time = 13.98 days.

This question belongs to: Maths Time and Work

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