A and B work together. A alone can complete the work in 24 days and B alone in 32 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 32 days. What percentage of the total daily work is contributed by A?

A. 62.14

B. 64.64

C. 59.64

D. 57.14

Answer: Option D

Solution (By JKSSB Mock Tests)

A share = (1/24) / (1/24+1/32) ×100 = 57.14%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 12 days and B in 40 days. If both work together, in how many days will the work be completed?

A. 9.23

B. 11.73

C. 14.23

D. 16.73

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Correct Answer: Option A

Explanation:
Combined rate = 1/12 + 1/40. Time = 9.23 days.

This question belongs to: Maths Time and Work

Question #2

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If 3 men or 5 women can do a piece of work in 12 days, in how many days will 6 men and 5 women complete the same work?

A. 5 days

B. 6 days

C. 4 days

D. 3 days

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Correct Answer: Option C

Explanation:
3 Men = 5 Women => 6 Men = 10 Women. 6 men + 5 women = 10 women + 5 women = 15 women. Since 5 women take 12 days, 15 women will take (5 * 12) / 15 = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 13 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 14.23

B. 6.73

C. 9.23

D. 11.73

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 6.73 days.

This question belongs to: Maths Time and Work

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