A can complete a work in 23 days and B in 23 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

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A can complete a work in 23 days and B in 23 days. If they work together, the work will be completed in:

A. 11.5

B. 26.5

C. 16.5

D. 21.5

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/23 + 1/23. Required time = 11.5 days.

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. 10 days

B. 11 days

C. 8 days

D. 9 days

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Correct Answer: Option A

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 19 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 10.3

B. 7.8

C. 12.8

D. 15.3

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Correct Answer: Option B

Explanation:
Combined time for full work multiplied by 0.75 = 7.8 days.

This question belongs to: Maths Time and Work

Question #3

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A, B and C can do a work in 6, 8 and 12 hours respectively. If they work together, how many hours will they take to complete the work?

A. 3(1/3) hours

B. 3 hours

C. 2(1/2) hours

D. 2(2/3) hours

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Correct Answer: Option D

Explanation:
Total work = LCM(6, 8, 12) = 24 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9. Time taken together = 24 / 9 = 8 / 3 = 2(2/3) hours.

This question belongs to: Maths Time and Work

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