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

A and B can do a piece of work in 15 days and 10 days respectively. They started the work together, but A left after 2 days. In how many days will B complete the remaining work?
A. 6 days
B. 5 days
C. 6(2/3) days
D. 7 days
Answer: Option C
Solution (By JKSSB Mock Tests)
Total work = LCM(15, 10) = 30 units. Efficiency of A = 2, B = 3. Combined efficiency = 5. In 2 days, work done = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by B to complete remaining work = 20 / 3 = 6(2/3) days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 18 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?
A. 10.96
B. 16.96
C. 12.96
D. 14.96

Correct Answer: Option A


Explanation:
Combined rate = 1/18 + 1/28. Time = 1 ÷ combined rate = 10.96 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 20 days and B in 40 days. After working together for 5 days, what percentage of work remains?
A. 65.0
B. 67.5
C. 62.5
D. 70.0

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/20+1/40))×100 = 62.5%.

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

Correct Answer: Option C


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

This question belongs to: Maths Time and Work