A can complete a work in 10 days and B can complete the same work in 25 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 10 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?

A. 11.14

B. 7.14

C. 13.14

D. 9.14

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/10 + 1/25. Time = 1 ÷ combined rate = 7.14 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 in 30 days. If they work together, the work will be completed in:

A. 13.05

B. 18.05

C. 23.05

D. 8.05

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Correct Answer: Option D

Explanation:
Combined rate = 1/11 + 1/30. Required time = 8.05 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 18 days and B in 39 days. If both work together, in how many days will the work be completed?

A. 14.82

B. 19.82

C. 17.32

D. 12.32

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Correct Answer: Option D

Explanation:
Combined rate = 1/18 + 1/39. Time = 12.32 days.

This question belongs to: Maths Time and Work

Question #3

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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. 50.0

B. 55.0

C. 52.5

D. 57.5

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Correct Answer: Option A

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

This question belongs to: Maths Time and Work

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