A and B work together. A alone can complete the work in 24 days and B alone in 34 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 24 days and B alone in 34 days. What percentage of the total daily work is contributed by A?
A. 63.62
B. 61.12
C. 58.62
D. 66.12
Answer: Option C
Solution (By JKSSB Mock Tests)
A share = (1/24) / (1/24+1/34) ×100 = 58.62%.

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Practice More Time and Work Questions

Question #1
A can complete a work in 9 days and B in 16 days. If they work together, the work will be completed in:
A. 15.76
B. 5.76
C. 10.76
D. 20.76

Correct Answer: Option B


Explanation:
Combined rate = 1/9 + 1/16. Required time = 5.76 days.

This question belongs to: Maths Time and Work
Question #2
A and B work together. A alone can complete the work in 30 days and B alone in 24 days. What percentage of the total daily work is contributed by A?
A. 51.94
B. 49.44
C. 46.94
D. 44.44

Correct Answer: Option D


Explanation:
A share = (1/30) / (1/30+1/24) ×100 = 44.44%.

This question belongs to: Maths Time and Work
Question #3
A can complete a piece of work in 12 days and B in 15 days. They work together for 3 days and then B leaves. In how many days will A complete the remaining work?
A. 4.8 days
B. 5.6 days
C. 7.5 days
D. 6.6 days

Correct Answer: Option D


Explanation:
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. Combined efficiency = 9 units/day. In 3 days, work completed = 3 * 9 = 27 units. Remaining work = 60 - 27 = 33 units. Time taken by A to complete remaining work = 33 / 5 = 6.6 days.

This question belongs to: Maths Time and Work