A can complete a work in 20 days and B in 22 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

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A can complete a work in 20 days and B in 22 days. If they work together, the work will be completed in:

A. 20.48

B. 25.48

C. 15.48

D. 10.48

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/20 + 1/22. Required time = 10.48 days.

This question belongs to: Maths Time and Work

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Question #1

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19 men can complete a work in 23 days. If 23 men work at the same rate, in how many days will the work be completed?

A. 25.0

B. 19.0

C. 23.0

D. 21.0

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Correct Answer: Option B

Explanation:
Total work = 19 × 23 = 437 man-days. Required days = 437/23 = 19.0 days.

This question belongs to: Maths Time and Work

Question #2

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A is twice as fast as B. If A and B together can complete a piece of work in 8 days, in how many days can A alone complete it?

A. 12 days

B. 16 days

C. 10 days

D. 24 days

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Correct Answer: Option A

Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3 units/day. Total work = 8 * 3 = 24 units. Time taken by A alone = 24 / 2 = 12 days.

This question belongs to: Maths Time and Work

Question #3

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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

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Correct Answer: Option B

Explanation:
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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