A and B can complete a work in 15 days and 10 days respectively. They started the work together but B left after 2 days. In how many days will A complete the remaining work? MCQ with Answer and Explanation

A and B can complete a work in 15 days and 10 days respectively. They started the work together but B left after 2 days. In how many days will A complete the remaining work?
A. 9 days
B. 8 days
C. 11 days
D. 10 days
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = LCM(15, 10) = 30 units. Efficiency of A = 2, B = 3. Combined efficiency = 5 units/day. In 2 days, work completed = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by A to complete remaining work = 20 / 2 = 10 days.

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Practice More Time and Work Questions

Question #1
11 men can complete a work in 18 days. If 16 men work at the same rate, the work will be completed in:
A. 17.38
B. 27.38
C. 12.38
D. 22.38

Correct Answer: Option C


Explanation:
Total work = 198 man-days. Time = 198/16 = 12.38 days.

This question belongs to: Maths Time and Work
Question #2
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. 21.31
B. 19.31
C. 17.31
D. 23.31

Correct Answer: Option C


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

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Question #3
A can complete a work in 12 days and B can complete the same work in 22 days. If they work together, in how many days will the work be completed?
A. 13.76
B. 11.76
C. 7.76
D. 9.76

Correct Answer: Option C


Explanation:
Combined rate = 1/12 + 1/22. Time = 1 ÷ combined rate = 7.76 days.

This question belongs to: Maths Time and Work