A is twice as efficient as B. If they complete a piece of work together in 14 days, how many days will A alone take to finish it? MCQ with Answer and Explanation

A is twice as efficient as B. If they complete a piece of work together in 14 days, how many days will A alone take to finish it?
A. 28 days
B. 35 days
C. 42 days
D. 21 days
Answer: Option D
Solution (By JKExamLibrary)
Let B's efficiency be 1 unit/day, so A's efficiency is 2 units/day. Combined efficiency = 3 units/day. Total work = 3 * 14 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A and B work together. A alone can complete the work in 24 days and B alone in 32 days. What percentage of the total daily work is contributed by A?
A. 64.64
B. 57.14
C. 59.64
D. 62.14

Correct Answer: Option B


Explanation:
A share = (1/24) / (1/24+1/32) ×100 = 57.14%.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 30 days and B in 22 days. If both work together, in how many days will the work be completed?
A. 20.19
B. 15.19
C. 12.69
D. 17.69

Correct Answer: Option C


Explanation:
Combined rate = 1/30 + 1/22. Time = 12.69 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
22 men can complete a work in 14 days. If 27 men work at the same rate, the work will be completed in:
A. 21.41
B. 11.41
C. 16.41
D. 26.41

Correct Answer: Option B


Explanation:
Total work = 308 man-days. Time = 308/27 = 11.41 days.

This question belongs to: Maths Time and Work