A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A leaves. In how many days will B finish the remaining work? MCQ with Answer and Explanation

A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A leaves. In how many days will B finish the remaining work?
A. 12 days
B. 11 days
C. 9 days
D. 10 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = LCM(25, 20) = 100 units. Efficiency of A = 4, B = 5. Combined efficiency = 9 units/day. In 5 days, work done = 5 * 9 = 45 units. Remaining work = 100 - 45 = 55 units. Time taken by B to complete remaining work = 55 / 5 = 11 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 28 days and B in 32 days. If both work together, in how many days will the work be completed?
A. 17.43
B. 19.93
C. 22.43
D. 14.93

Correct Answer: Option D


Explanation:
Combined rate = 1/28 + 1/32. Time = 14.93 days.

This question belongs to: Maths Time and Work
Question #2
12 men can complete a work in 28 days. If 16 men work at the same rate, in how many days will the work be completed?
A. 25.0
B. 27.0
C. 23.0
D. 21.0

Correct Answer: Option D


Explanation:
Total work = 12 × 28 = 336 man-days. Required days = 336/16 = 21.0 days.

This question belongs to: Maths Time and Work
Question #3
A can build a wall in 20 days, while B can destroy it in 30 days. If they work on alternate days starting with A, in how many days will the wall be completely built?
A. 113 days
B. 115 days
C. 116 days
D. 120 days

Correct Answer: Option B


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = +3, B = -2. In 2 days (A then B), net work done = 3 - 2 = 1 unit. We need to reach 60 units. Since A can add 3 units on his turn, we find when work reaches 60 - 3 = 57 units. 57 units will be done in 57 * 2 = 114 days. On the 115th day, A works and completes 3 units, making the total work 57 + 3 = 60 units. So, the wall is built in 115 days.

This question belongs to: Maths Time and Work