A can complete a work in 18 days and B in 24 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

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A can complete a work in 18 days and B in 24 days. If both work together, in how many days will the work be completed?

A. 15.29

B. 17.79

C. 10.29

D. 12.79

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined rate = 1/18 + 1/24. Time = 10.29 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 26 days and B in 20 days. If both work together, in how many days will the work be completed?

A. 18.8

B. 11.3

C. 16.3

D. 13.8

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Correct Answer: Option B

Explanation:
Combined rate = 1/26 + 1/20. Time = 11.3 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 10 days and B can complete the same work in 30 days. If they work together, in how many days will the work be completed?

A. 13.5

B. 11.5

C. 9.5

D. 7.5

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Correct Answer: Option D

Explanation:
Combined rate = 1/10 + 1/30. Time = 1 ÷ combined rate = 7.5 days.

This question belongs to: Maths Time and Work

Question #3

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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

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