A and B work together. A alone can complete the work in 24 days and B alone in 30 days. What percentage of the total daily work is contributed by A? MCQ with Answer and Explanation

Question

A and B work together. A alone can complete the work in 24 days and B alone in 30 days. What percentage of the total daily work is contributed by A?

A. 55.56

B. 63.06

C. 58.06

D. 60.56

Answer: Option A

Solution (By JKSSB Mock Tests)

A share = (1/24) / (1/24+1/30) ×100 = 55.56%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 13 days and B in 42 days. If both work together, in how many days will the work be completed?

A. 9.93

B. 17.43

C. 14.93

D. 12.43

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Correct Answer: Option A

Explanation:
Combined rate = 1/13 + 1/42. Time = 9.93 days.

This question belongs to: Maths Time and Work

Question #2

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If 5 men or 9 women can do a piece of work in 19 days, then 3 men and 6 women will do the same work in:

A. 15 days

B. 10 days

C. 12 days

D. 13 days

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Correct Answer: Option A

Explanation:
5 Men = 9 Women => 1 Man = 9/5 Women. 3 men + 6 women = 3 * (9/5) + 6 = 27/5 + 6 = 57/5 women. Since 9 women take 19 days, 57/5 women will take (9 * 19) / (57/5) = (171 * 5) / 57 = 3 * 5 = 15 days.

This question belongs to: Maths Time and Work

Question #3

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20 men can complete a work in 22 days. If 25 men work at the same rate, the work will be completed in:

A. 27.6

B. 32.6

C. 17.6

D. 22.6

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Correct Answer: Option C

Explanation:
Total work = 440 man-days. Time = 440/25 = 17.6 days.

This question belongs to: Maths Time and Work

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