A can complete a work in 15 days and B in 15 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 15 days and B in 15 days. If they work together, the work will be completed in:

A. 17.5

B. 7.5

C. 22.5

D. 12.5

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/15 + 1/15. Required time = 7.5 days.

This question belongs to: Maths Time and Work

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Question #1

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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. 2(1/2) hours

B. 2(2/3) hours

C. 3(1/3) hours

D. 3 hours

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Correct Answer: Option B

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

Question #2

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4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A. 35 days

B. 50 days

C. 45 days

D. 40 days

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Correct Answer: Option D

Explanation:
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.

This question belongs to: Maths Time and Work