A and B work together. A alone can complete the work in 24 days and B alone in 22 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 22 days. What percentage of the total daily work is contributed by A?
A. 50.33
B. 47.83
C. 55.33
D. 52.83
Answer: Option B
Solution (By JKSSB Mock Tests)
A share = (1/24) / (1/24+1/22) ×100 = 47.83%.

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Practice More Time and Work Questions

Question #1
A can complete a work in 21 days and B in 25 days. If they work together, the work will be completed in:
A. 26.41
B. 21.41
C. 16.41
D. 11.41

Correct Answer: Option D


Explanation:
Combined rate = 1/21 + 1/25. Required time = 11.41 days.

This question belongs to: Maths Time and Work
Question #2
A can build a wall in 15 days, and B can destroy it in 20 days. If they work on alternate days starting with A, in how many days will the wall be built?
A. 120 days
B. 115 days
C. 113 days
D. 117 days

Correct Answer: Option C


Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = +4, B = -3. In 2 days (A then B), net work done = 4 - 3 = 1 unit. We need to reach 60 - 4 = 56 units first. 56 units will be done in 56 * 2 = 112 days. On the 113th day, A works and completes 4 units, making the total work 56 + 4 = 60 units. So, the wall is completed in 113 days.

This question belongs to: Maths Time and Work
Question #3
9 men can complete a work in 25 days. If 13 men work at the same rate, in how many days will the work be completed?
A. 23.31
B. 17.31
C. 21.31
D. 19.31

Correct Answer: Option B


Explanation:
Total work = 9 × 25 = 225 man-days. Required days = 225/13 = 17.31 days.

This question belongs to: Maths Time and Work