A can complete a work in 24 days and B can complete the same work in 29 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 24 days and B can complete the same work in 29 days. If they work together, in how many days will the work be completed?

A. 13.13

B. 17.13

C. 15.13

D. 19.13

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/24 + 1/29. Time = 1 ÷ combined rate = 13.13 days.

This question belongs to: Maths Time and Work

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Question #1

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A and B work together. A alone can complete the work in 18 days and B alone in 34 days. What percentage of the total daily work is contributed by A?

A. 70.38

B. 67.88

C. 65.38

D. 72.88

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Correct Answer: Option C

Explanation:
A share = (1/18) / (1/18+1/34) ×100 = 65.38%.

This question belongs to: Maths Time and Work

Question #2

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

A. 22.5

B. 17.5

C. 20.0

D. 15.0

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Correct Answer: Option D

Explanation:
Total work = 345 man-days. Days = 15.0.

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 13 days and B in 17 days. In how many days will they complete 75% of the work together?

A. 10.52

B. 8.02

C. 13.02

D. 5.52

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Correct Answer: Option D

Explanation:
Combined time for full work multiplied by 0.75 = 5.52 days.

This question belongs to: Maths Time and Work

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