A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days can A alone finish the remaining work? MCQ with Answer and Explanation

A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days can A alone finish the remaining work?
A. 5(1/2) days
B. 8 days
C. 6 days
D. 5 days
Answer: Option C
Solution (By JKExamLibrary)
Total work = LCM(18, 15) = 90 units. Efficiency of A = 5, B = 6. B works for 10 days: work done = 10 * 6 = 60 units. Remaining work = 90 - 60 = 30 units. Time taken by A to finish the remaining work = 30 / 5 = 6 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 26 days. What percentage of work will A complete in 6 days?
A. 23.08
B. 38.08
C. 33.08
D. 28.08

Correct Answer: Option A


Explanation:
Percentage completed = (6/26) × 100 = 23.08%.

This question belongs to: Maths Time and Work
Question #2 Report Error
A can complete a work in 22 days and B can complete the same work in 27 days. If they work together, in how many days will the work be completed?
A. 16.12
B. 14.12
C. 12.12
D. 18.12

Correct Answer: Option C


Explanation:
Combined rate = 1/22 + 1/27. Time = 1 ÷ combined rate = 12.12 days.

This question belongs to: Maths Time and Work
Question #3 Report Error
A can complete a work in 14 days and B in 15 days. If they work together, the work will be completed in:
A. 12.24
B. 17.24
C. 22.24
D. 7.24

Correct Answer: Option D


Explanation:
Combined rate = 1/14 + 1/15. Required time = 7.24 days.

This question belongs to: Maths Time and Work