A can complete a work in 12 days and B in 17 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 12 days and B in 17 days. If they work together, the work will be completed in:

A. 17.03

B. 22.03

C. 12.03

D. 7.03

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/12 + 1/17. Required time = 7.03 days.

This question belongs to: Maths Time and Work

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Question #1

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A and B together can complete a piece of work in 8 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?

A. 20 days

B. 18 days

C. 16 days

D. 24 days

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Correct Answer: Option D

Explanation:
Total work = LCM(8, 12) = 24 units. Combined efficiency of A and B = 3. Efficiency of A = 2. Efficiency of B = 3 - 2 = 1. Time taken by B alone = 24 / 1 = 24 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 23 days and B in 28 days. If both work together, in how many days will the work be completed?

A. 20.13

B. 15.13

C. 12.63

D. 17.63

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Correct Answer: Option C

Explanation:
Combined rate = 1/23 + 1/28. Time = 12.63 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 16 days and B in 20 days. If both work together, in how many days will the work be completed?

A. 16.39

B. 13.89

C. 8.89

D. 11.39

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Correct Answer: Option C

Explanation:
Combined rate = 1/16 + 1/20. Time = 8.89 days.

This question belongs to: Maths Time and Work

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