A can complete a work in 16 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

Question

A can complete a work in 16 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?

A. 9.08

B. 13.08

C. 11.08

D. 15.08

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined rate = 1/16 + 1/21. Time = 1 ÷ combined rate = 9.08 days.

This question belongs to: Maths Time and Work

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Question #1

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A can complete a work in 13 days and B in 20 days. If they work together, the work will be completed in:

A. 22.88

B. 7.88

C. 17.88

D. 12.88

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Correct Answer: Option B

Explanation:
Combined rate = 1/13 + 1/20. Required time = 7.88 days.

This question belongs to: Maths Time and Work

Question #2

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If 20 men can build a wall 56 meters long in 6 days, what length of a similar wall can be built by 35 men in 3 days?

A. 42 meters

B. 49 meters

C. 52 meters

D. 56 meters

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Correct Answer: Option B

Explanation:
Using (M1 * D1) / W1 = (M2 * D2) / W2: (20 * 6) / 56 = (35 * 3) / W2 => 120 / 56 = 105 / W2 => W2 = (105 * 56) / 120 = (7 * 56) / 8 = 7 * 7 = 49 meters.

This question belongs to: Maths Time and Work

Question #3

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

A. 9.03

B. 7.03

C. 11.03

D. 13.03

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Correct Answer: Option B

Explanation:
Combined rate = 1/12 + 1/17. Time = 1 ÷ combined rate = 7.03 days.

This question belongs to: Maths Time and Work

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