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. 64.64

B. 62.14

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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15 men can complete a work in 12 days. How many days will 18 men take to complete the same work?

A. 11 days

B. 10 days

C. 9 days

D. 8 days

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Correct Answer: Option B

Explanation:
Using M1 * D1 = M2 * D2: 15 * 12 = 18 * D2 => 180 = 18 * D2 => D2 = 10 days.

This question belongs to: Maths Time and Work

Question #2

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A can do a work in 13 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 13.73

B. 8.73

C. 11.23

D. 6.23

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Correct Answer: Option D

Explanation:
Combined time for full work multiplied by 0.75 = 6.23 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 24 days and B in 30 days. If both work together, in how many days will the work be completed?

A. 20.83

B. 18.33

C. 15.83

D. 13.33

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Correct Answer: Option D

Explanation:
Combined rate = 1/24 + 1/30. Time = 13.33 days.

This question belongs to: Maths Time and Work

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