16 men can complete a work in 26 days. If 20 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation

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16 men can complete a work in 26 days. If 20 men work at the same rate, in how many days will the work be completed?

A. 22.8

B. 26.8

C. 24.8

D. 20.8

Answer: Option D

Solution (By JKSSB Mock Tests)

Total work = 16 × 26 = 416 man-days. Required days = 416/20 = 20.8 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 18 days and B in 27 days. If they work together, the work will be completed in:

A. 10.8

B. 15.8

C. 25.8

D. 20.8

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Correct Answer: Option A

Explanation:
Combined rate = 1/18 + 1/27. Required time = 10.8 days.

This question belongs to: Maths Time and Work

Question #2

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A is twice as efficient as B and B is twice as efficient as C. If A and B together can complete a work in 4 days, then C alone can complete it in:

A. 16 days

B. 32 days

C. 24 days

D. 12 days

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Correct Answer: Option C

Explanation:
Let efficiency of C = 1. Then efficiency of B = 2 and efficiency of A = 4. Combined efficiency of A and B = 4 + 2 = 6. Total work = 4 * 6 = 24 units. Time taken by C alone = 24 / 1 = 24 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 13 days and B in 42 days. If both work together, in how many days will the work be completed?

A. 9.93

B. 12.43

C. 17.43

D. 14.93

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Correct Answer: Option A

Explanation:
Combined rate = 1/13 + 1/42. Time = 9.93 days.

This question belongs to: Maths Time and Work

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