A and B work together. A alone can complete the work in 24 days and B alone in 34 days. What percentage of the total daily work is contributed by A? MCQ with Answer and Explanation

Question

A and B work together. A alone can complete the work in 24 days and B alone in 34 days. What percentage of the total daily work is contributed by A?

A. 58.62

B. 61.12

C. 66.12

D. 63.62

Answer: Option A

Solution (By JKSSB Mock Tests)

A share = (1/24) / (1/24+1/34) ×100 = 58.62%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 12 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. 10.73

B. 14.73

C. 8.73

D. 12.73

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Correct Answer: Option C

Explanation:
Combined rate = 1/12 + 1/32. Time = 1 ÷ combined rate = 8.73 days.

This question belongs to: Maths Time and Work

Question #2

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

A. 18.0

B. 16.0

C. 14.0

D. 12.0

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Correct Answer: Option D

Explanation:
Total work = 12 × 16 = 192 man-days. Required days = 192/16 = 12.0 days.

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Question #3

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8 men can complete a work in 18 days. If 12 men work at the same rate, in how many days will the work be completed?

A. 18.0

B. 12.0

C. 14.0

D. 16.0

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Correct Answer: Option B

Explanation:
Total work = 8 × 18 = 144 man-days. Required days = 144/12 = 12.0 days.

This question belongs to: Maths Time and Work

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