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

A. 22.0

B. 20.0

C. 18.0

D. 16.0

Answer: Option D

Solution (By JKSSB Mock Tests)

Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.

This question belongs to: Maths Time and Work

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Question #1

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A is twice as efficient as B. If they complete a work together in 14 days, how many days will A alone take to complete it?

A. 21 days

B. 35 days

C. 42 days

D. 28 days

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Correct Answer: Option A

Explanation:
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3. Total work = 14 * 3 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

This question belongs to: Maths Time and Work

Question #2

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13 men can complete a work in 23 days. If 17 men work at the same rate, in how many days will the work be completed?

A. 19.59

B. 21.59

C. 23.59

D. 17.59

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Correct Answer: Option D

Explanation:
Total work = 13 × 23 = 299 man-days. Required days = 299/17 = 17.59 days.

This question belongs to: Maths Time and Work

Question #3

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12 men can complete a work in 8 days. How many days will it take for 16 men to complete the same work?

A. 4 days

B. 5 days

C. 6 days

D. 7 days

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Correct Answer: Option C

Explanation:
Using M1 * D1 = M2 * D2: 12 * 8 = 16 * D2. 96 = 16 * D2. D2 = 96 / 16 = 6 days.

This question belongs to: Maths Time and Work

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