A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B leaves. The days taken by A to finish the remaining work is: MCQ with Answer and Explanation

A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B leaves. The days taken by A to finish the remaining work is:
A. 2 days
B. 3 days
C. 1 day
D. 4 days
Answer: Option B
Solution (By JKExamLibrary)
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. In 5 days, work done = 5 * (5 + 4) = 45 units. Remaining work = 60 - 45 = 15 units. Time taken by A to finish remaining work = 15 / 5 = 3 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 18 days and B in 36 days. After working together for 5 days, what percentage of work remains?
A. 65.83
B. 63.33
C. 58.33
D. 60.83

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/18+1/36))×100 = 58.33%.

This question belongs to: Maths Time and Work
Question #2 Report Error
A and B work together. A alone can complete the work in 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A?
A. 61.59
B. 64.09
C. 59.09
D. 66.59

Correct Answer: Option C


Explanation:
A share = (1/18) / (1/18+1/26) ×100 = 59.09%.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 21 days and B in 28 days. If they work together, the work will be completed in:
A. 12.0
B. 27.0
C. 17.0
D. 22.0

Correct Answer: Option A


Explanation:
Combined rate = 1/21 + 1/28. Required time = 12.0 days.

This question belongs to: Maths Time and Work