A can do a piece of work in 24 days and B in 30 days. They work together for 6 days and then A leaves. How many days will B take to complete the remaining work? MCQ with Answer and Explanation

A can do a piece of work in 24 days and B in 30 days. They work together for 6 days and then A leaves. How many days will B take to complete the remaining work?
A. 18.5 days
B. 16.5 days
C. 15 days
D. 14 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Total work = LCM(24, 30) = 120 units. Efficiency of A = 5, B = 4. Combined efficiency = 9. In 6 days, work done = 6 * 9 = 54 units. Remaining work = 120 - 54 = 66 units. Time taken by B to complete the remaining work = 66 / 4 = 16.5 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 21 days and B can complete the same work in 26 days. If they work together, in how many days will the work be completed?
A. 15.62
B. 13.62
C. 11.62
D. 17.62

Correct Answer: Option C


Explanation:
Combined rate = 1/21 + 1/26. Time = 1 ÷ combined rate = 11.62 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 15 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?
A. 8.57
B. 12.57
C. 10.57
D. 14.57

Correct Answer: Option A


Explanation:
Combined rate = 1/15 + 1/20. Time = 1 ÷ combined rate = 8.57 days.

This question belongs to: Maths Time and Work
Question #3
16 men can complete a work in 20 days. If 20 men work at the same rate, in how many days will the work be completed?
A. 18.0
B. 20.0
C. 22.0
D. 16.0

Correct Answer: Option D


Explanation:
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.

This question belongs to: Maths Time and Work