A and B can complete a work in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work? MCQ with Answer and Explanation

A and B can complete a work in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?
A. 10 days
B. 8 days
C. 11 days
D. 9 days
Answer: Option D
Solution (By JKSSB Mock Tests)
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 3 * 7 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B to complete remaining work = 27 / 3 = 9 days.

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Practice More Time and Work Questions

Question #1
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. 7.24
C. 22.24
D. 12.24

Correct Answer: Option B


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

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 11 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. 7.73
B. 9.73
C. 11.73
D. 13.73

Correct Answer: Option A


Explanation:
Combined rate = 1/11 + 1/26. Time = 1 ÷ combined rate = 7.73 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 18 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?
A. 11.0
B. 13.0
C. 15.0
D. 9.0

Correct Answer: Option D


Explanation:
Combined rate = 1/18 + 1/18. Time = 1 ÷ combined rate = 9.0 days.

This question belongs to: Maths Time and Work