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? MCQ with Answer and Explanation

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. 52.5
B. 50.0
C. 57.5
D. 55.0
Answer: Option B
Solution (By JKSSB Mock Tests)
A share = (1/24) / (1/24+1/24) ×100 = 50.0%.

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Practice More Time and Work Questions

Question #1
A can complete a work in 23 days and B in 26 days. If they work together, the work will be completed in:
A. 27.2
B. 17.2
C. 22.2
D. 12.2

Correct Answer: Option D


Explanation:
Combined rate = 1/23 + 1/26. Required time = 12.2 days.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 14 days and B in 24 days. They work together for 5 days. What percentage of work remains?
A. 58.45
B. 43.45
C. 48.45
D. 53.45

Correct Answer: Option B


Explanation:
Remaining work = (1 - 5*(1/14+1/24)) ×100 = 43.45%.

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. 5.6 days
B. 7.5 days
C. 6.6 days
D. 4.8 days

Correct Answer: Option C


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