A and B work together. A alone can complete the work in 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A? MCQ with Answer and Explanation

A and B work together. A alone can complete the work in 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A?
A. 59.09
B. 61.59
C. 66.59
D. 64.09
Answer: Option A
Solution (By JKSSB Mock Tests)
A share = (1/18) / (1/18+1/26) ×100 = 59.09%.

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Practice More Time and Work Questions

Question #1
A can do a work in 10 days and B in 20 days. They work together for 5 days. What percentage of work remains?
A. 35.0
B. 30.0
C. 40.0
D. 25.0

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/10+1/20)) ×100 = 25.0%.

This question belongs to: Maths Time and Work
Question #2
A and B can complete a piece of work in 20 days and 30 days respectively. They work together for some days and then A leaves. If B completes the remaining work in 10 days, for how many days did they work together?
A. 8 days
B. 12 days
C. 6 days
D. 10 days

Correct Answer: Option A


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. B works alone for 10 days: work completed = 10 * 2 = 20 units. Remaining work = 60 - 20 = 40 units. This was done by A and B together. Combined efficiency = 3 + 2 = 5 units/day. Days worked together = 40 / 5 = 8 days.

This question belongs to: Maths Time and Work
Question #3
A and B work together. A alone can complete the work in 30 days and B alone in 32 days. What percentage of the total daily work is contributed by A?
A. 51.61
B. 56.61
C. 59.11
D. 54.11

Correct Answer: Option A


Explanation:
A share = (1/30) / (1/30+1/32) ×100 = 51.61%.

This question belongs to: Maths Time and Work