A and B work together. A alone can complete the work in 18 days and B alone in 32 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 18 days and B alone in 32 days. What percentage of the total daily work is contributed by A?

A. 64.0

B. 69.0

C. 66.5

D. 71.5

Answer: Option A

Solution (By JKSSB Mock Tests)

A share = (1/18) / (1/18+1/32) ×100 = 64.0%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 19 days and B in 19 days. If both work together, in how many days will the work be completed?

A. 9.5

B. 12.0

C. 17.0

D. 14.5

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Correct Answer: Option A

Explanation:
Combined rate = 1/19 + 1/19. Time = 9.5 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 14 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?

A. 14.06

B. 8.06

C. 10.06

D. 12.06

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Correct Answer: Option B

Explanation:
Combined rate = 1/14 + 1/19. Time = 1 ÷ combined rate = 8.06 days.

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 18 days and B in 28 days. They work together for 5 days. What percentage of work remains?

A. 64.37

B. 59.37

C. 69.37

D. 54.37

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Correct Answer: Option D

Explanation:
Remaining work = (1 - 5*(1/18+1/28)) ×100 = 54.37%.

This question belongs to: Maths Time and Work

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