A can complete a work in 24 days and B in 48 days. After working together for 5 days, what percentage of work remains? MCQ with Answer and Explanation

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A can complete a work in 24 days and B in 48 days. After working together for 5 days, what percentage of work remains?

A. 73.75

B. 71.25

C. 68.75

D. 76.25

Answer: Option C

Solution (By JKSSB Mock Tests)

Remaining work = (1 - 5*(1/24+1/48))×100 = 68.75%.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 18 days and B can complete the same work in 18 days. If they work together, in how many days will the work be completed?

A. 15.0

B. 13.0

C. 9.0

D. 11.0

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Correct Answer: Option C

Explanation:
Combined rate = 1/18 + 1/18. Time = 1 ÷ combined rate = 9.0 days.

This question belongs to: Maths Time and Work

Question #2

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A and B work together. A alone can complete the work in 18 days and B alone in 32 days. What percentage of the total daily work is contributed by A?

A. 71.5

B. 64.0

C. 66.5

D. 69.0

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Correct Answer: Option B

Explanation:
A share = (1/18) / (1/18+1/32) ×100 = 64.0%.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 18 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?

A. 11.65

B. 15.65

C. 13.65

D. 17.65

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Correct Answer: Option A

Explanation:
Combined rate = 1/18 + 1/33. Time = 1 ÷ combined rate = 11.65 days.

This question belongs to: Maths Time and Work

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