A can complete a work in 22 days and B can complete the same work in 32 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 22 days and B can complete the same work in 32 days. If they work together, in how many days will the work be completed?

A. 19.04

B. 15.04

C. 13.04

D. 17.04

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/22 + 1/32. Time = 1 ÷ combined rate = 13.04 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 11 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. 11.73

B. 13.73

C. 9.73

D. 7.73

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Correct Answer: Option D

Explanation:
Combined rate = 1/11 + 1/26. Time = 1 ÷ combined rate = 7.73 days.

This question belongs to: Maths Time and Work

Question #2

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16 men can complete a work in 26 days. If 20 men work at the same rate, in how many days will the work be completed?

A. 22.8

B. 20.8

C. 24.8

D. 26.8

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Correct Answer: Option B

Explanation:
Total work = 16 × 26 = 416 man-days. Required days = 416/20 = 20.8 days.

This question belongs to: Maths Time and Work

Question #3

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24 men can complete a work in 26 days. If 29 men work at the same rate, the work will be completed in:

A. 21.52

B. 31.52

C. 36.52

D. 26.52

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Correct Answer: Option A

Explanation:
Total work = 624 man-days. Time = 624/29 = 21.52 days.

This question belongs to: Maths Time and Work

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