A is thrice as efficient as B. Working together, they can complete a piece of work in 18 days. In how many days can A alone complete the work? MCQ with Answer and Explanation

A is thrice as efficient as B. Working together, they can complete a piece of work in 18 days. In how many days can A alone complete the work?
A. 72 days
B. 36 days
C. 54 days
D. 24 days
Answer: Option D
Solution (By JKExamLibrary)
Let B's efficiency = 1, then A's efficiency = 3. Combined efficiency = 3 + 1 = 4. Total work = 18 * 4 = 72 units. Time taken by A alone = 72 / 3 = 24 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A can complete a work in 12 days and B in 40 days. If both work together, in how many days will the work be completed?
A. 9.23
B. 16.73
C. 14.23
D. 11.73

Correct Answer: Option A


Explanation:
Combined rate = 1/12 + 1/40. Time = 9.23 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 17 days and B in 21 days. If they work together, the work will be completed in:
A. 24.39
B. 14.39
C. 9.39
D. 19.39

Correct Answer: Option C


Explanation:
Combined rate = 1/17 + 1/21. Required time = 9.39 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 16 days and B in 32 days. After working together for 5 days, what percentage of work remains?
A. 60.62
B. 55.62
C. 53.12
D. 58.12

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/16+1/32))×100 = 53.12%.

This question belongs to: Maths Time and Work