A and B work together. A alone can complete the work in 24 days and B alone in 28 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 28 days. What percentage of the total daily work is contributed by A?
A. 58.85
B. 61.35
C. 53.85
D. 56.35
Answer: Option C
Solution (By JKSSB Mock Tests)
A share = (1/24) / (1/24+1/28) ×100 = 53.85%.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 30 days and B alone in 34 days. What percentage of the total daily work is contributed by A?
A. 58.12
B. 53.12
C. 55.62
D. 60.62

Correct Answer: Option B


Explanation:
A share = (1/30) / (1/30+1/34) ×100 = 53.12%.

This question belongs to: Maths Time and Work
Question #2
12 men can complete a work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working and after 2 days, all of them stop working. How many women should be put on the job to complete the remaining work in 3 days?
A. 18
B. 25
C. 20
D. 15

Correct Answer: Option D


Explanation:
Total work = 12M * 4 = 48 man-days = 15W * 4 = 60 woman-days. So, 48M = 60W => 4M = 5W => 1M = 1.25W. Work done by 6 men in 2 days = 12 man-days. Remaining work = 48 - 12 = 36 man-days. Converting to woman-days: 36 * 1.25 = 45 woman-days. To complete 45 woman-days in 3 days, number of women required = 45 / 3 = 15 women.

This question belongs to: Maths Time and Work
Question #3
14 men can complete a work in 26 days. If 19 men work at the same rate, the work will be completed in:
A. 29.16
B. 34.16
C. 24.16
D. 19.16

Correct Answer: Option D


Explanation:
Total work = 364 man-days. Time = 364/19 = 19.16 days.

This question belongs to: Maths Time and Work