A can complete a work in 16 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 16 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed?
A. 10.55
B. 14.55
C. 12.55
D. 16.55
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/16 + 1/31. Time = 1 ÷ combined rate = 10.55 days.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 24 days and B alone in 24 days. What percentage of the total daily work is contributed by A?
A. 50.0
B. 57.5
C. 55.0
D. 52.5

Correct Answer: Option A


Explanation:
A share = (1/24) / (1/24+1/24) ×100 = 50.0%.

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. 11.0
B. 15.0
C. 13.0
D. 17.0

Correct Answer: Option A


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 and B can do a job in 6 days and 12 days respectively. They began the work together but A left after 3 days. In how many days was the remaining work completed by B?
A. 4 days
B. 2 days
C. 3 days
D. 5 days

Correct Answer: Option C


Explanation:
Total work = LCM(6, 12) = 12 units. Efficiency of A = 2, B = 1. Combined efficiency = 3 units/day. In 3 days, work done = 3 * 3 = 9 units. Remaining work = 12 - 9 = 3 units. Time taken by B to complete remaining work = 3 / 1 = 3 days.

This question belongs to: Maths Time and Work