A and B work together. A alone can complete the work in 30 days and B alone in 30 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 30 days and B alone in 30 days. What percentage of the total daily work is contributed by A?

A. 52.5

B. 57.5

C. 55.0

D. 50.0

Answer: Option D

Solution (By JKSSB Mock Tests)

A share = (1/30) / (1/30+1/30) ×100 = 50.0%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 26 days and B in 52 days. After working together for 5 days, what percentage of work remains?

A. 71.15

B. 73.65

C. 76.15

D. 78.65

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Correct Answer: Option A

Explanation:
Remaining work = (1 - 5*(1/26+1/52))×100 = 71.15%.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 17 days and B can complete the same work in 17 days. If they work together, in how many days will the work be completed?

A. 10.5

B. 8.5

C. 12.5

D. 14.5

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Correct Answer: Option B

Explanation:
Combined rate = 1/17 + 1/17. Time = 1 ÷ combined rate = 8.5 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 22 days and B in 33 days. If both work together, in how many days will the work be completed?

A. 20.7

B. 13.2

C. 15.7

D. 18.2

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Correct Answer: Option B

Explanation:
Combined rate = 1/22 + 1/33. Time = 13.2 days.

This question belongs to: Maths Time and Work

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