A can do a work in 11 days and B in 23 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation

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A can do a work in 11 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 8.08

B. 13.08

C. 5.58

D. 10.58

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined time for full work multiplied by 0.75 = 5.58 days.

This question belongs to: Maths Time and Work

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Question #1

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A is 40% more efficient than B. If they together can finish a work in 10 days, in how many days can A alone finish it?

A. 17(1/7) days

B. 15 days

C. 14 days

D. 16(2/3) days

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Correct Answer: Option A

Explanation:
Let efficiency of B = 5, then efficiency of A = 7. Combined efficiency = 12 units/day. Total work = 10 * 12 = 120 units. Time taken by A alone = 120 / 7 = 17(1/7) days.

This question belongs to: Maths Time and Work

Question #2

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A can do a work in 9 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 4.85

B. 7.35

C. 12.35

D. 9.85

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Correct Answer: Option A

Explanation:
Combined time for full work multiplied by 0.75 = 4.85 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 21 days and B in 25 days. If they work together, the work will be completed in:

A. 16.41

B. 11.41

C. 26.41

D. 21.41

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Correct Answer: Option B

Explanation:
Combined rate = 1/21 + 1/25. Required time = 11.41 days.

This question belongs to: Maths Time and Work

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