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? MCQ with Answer and Explanation

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. 42 days

C. 35 days

D. 28 days

Answer: Option A

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

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Question #1 Report Error

18 men can complete a work in 16 days. If 22 men work at the same rate, in how many days will the work be completed?

A. 13.09

B. 15.09

C. 17.09

D. 19.09

Correct Answer: Option A

Explanation:
Total work = 18 × 16 = 288 man-days. Required days = 288/22 = 13.09 days.

This question belongs to: Maths Time and Work

Question #2 Report Error

9 men can complete a work in 25 days. If 13 men work at the same rate, in how many days will the work be completed?

A. 19.31

B. 23.31

C. 21.31

D. 17.31

Correct Answer: Option D

Explanation:
Total work = 9 × 25 = 225 man-days. Required days = 225/13 = 17.31 days.

This question belongs to: Maths Time and Work

Question #3 Report Error

A can complete a work in 13 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?

A. 14.88

B. 12.88

C. 10.88

D. 8.88

Correct Answer: Option D

Explanation:
Combined rate = 1/13 + 1/28. Time = 1 ÷ combined rate = 8.88 days.

This question belongs to: Maths Time and Work