A and B work together. A alone can complete the work in 24 days and B alone in 36 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 36 days. What percentage of the total daily work is contributed by A?
A. 67.5
B. 60.0
C. 65.0
D. 62.5
Answer: Option B
Solution (By JKSSB Mock Tests)
A share = (1/24) / (1/24+1/36) ×100 = 60.0%.

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Practice More Time and Work Questions

Question #1
A can do a work in 11 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 5.01
B. 7.51
C. 10.01
D. 12.51

Correct Answer: Option A


Explanation:
Combined time for full work multiplied by 0.75 = 5.01 days.

This question belongs to: Maths Time and Work
Question #2
A can build a wall in 30 days, while B can destroy it in 40 days. If they work on alternate days starting with A, in how many days will the wall be built?
A. 237 days
B. 235 days
C. 233 days
D. 240 days

Correct Answer: Option C


Explanation:
Total work = LCM(30, 40) = 120 units. Efficiency of A = +4, B = -3. In 2 days, net work = 4 - 3 = 1 unit. We look for when the work reaches 120 - 4 = 116 units. 116 units are done in 116 * 2 = 232 days. On the 233rd day, A works and completes 4 units, making total work 116 + 4 = 120 units. Thus, the wall is completed in 233 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 22 days. What percentage of the total daily work is contributed by A?
A. 49.81
B. 47.31
C. 42.31
D. 44.81

Correct Answer: Option C


Explanation:
A share = (1/30) / (1/30+1/22) ×100 = 42.31%.

This question belongs to: Maths Time and Work