A can do a piece of work in 10 days, B in 15 days. They work together for 2 days and then A leaves. In how many days will B complete the remaining work? MCQ with Answer and Explanation

A can do a piece of work in 10 days, B in 15 days. They work together for 2 days and then A leaves. In how many days will B complete the remaining work?
A. 12 days
B. 10 days
C. 11 days
D. 8 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = LCM(10, 15) = 30 units. Efficiency of A = 3, B = 2. Combined efficiency = 5 units/day. In 2 days, work completed = 2 * 5 = 10 units. Remaining work = 30 - 10 = 20 units. Time taken by B to complete remaining work = 20 / 2 = 10 days.

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Practice More Time and Work Questions

Question #1
A can do a work in 9 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 12.65
B. 7.65
C. 5.15
D. 10.15

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 5.15 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 22 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. 13.0
B. 15.0
C. 11.0
D. 17.0

Correct Answer: Option C


Explanation:
Combined rate = 1/22 + 1/22. Time = 1 ÷ combined rate = 11.0 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 20 days and B in 36 days. If both work together, in how many days will the work be completed?
A. 20.36
B. 12.86
C. 15.36
D. 17.86

Correct Answer: Option B


Explanation:
Combined rate = 1/20 + 1/36. Time = 12.86 days.

This question belongs to: Maths Time and Work