A and B work together. A alone can complete the work in 18 days and B alone in 24 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 18 days and B alone in 24 days. What percentage of the total daily work is contributed by A?

A. 64.64

B. 62.14

C. 59.64

D. 57.14

Answer: Option D

Solution (By JKSSB Mock Tests)

A share = (1/18) / (1/18+1/24) ×100 = 57.14%.

This question belongs to: Maths Time and Work

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Question #1

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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. 10 days

B. 15 days

C. 13 days

D. 12 days

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Correct Answer: Option B

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 #2

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16 men can complete a work in 18 days. If 21 men work at the same rate, the work will be completed in:

A. 28.71

B. 18.71

C. 23.71

D. 13.71

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Correct Answer: Option D

Explanation:
Total work = 288 man-days. Time = 288/21 = 13.71 days.

This question belongs to: Maths Time and Work

Question #3

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19 men can complete a work in 17 days. If 23 men work at the same rate, in how many days will the work be completed?

A. 14.04

B. 18.04

C. 16.04

D. 20.04

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Correct Answer: Option A

Explanation:
Total work = 19 × 17 = 323 man-days. Required days = 323/23 = 14.04 days.

This question belongs to: Maths Time and Work

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