A can complete a work in 19 days and B can complete the same work in 34 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 19 days and B can complete the same work in 34 days. If they work together, in how many days will the work be completed?

A. 14.19

B. 12.19

C. 18.19

D. 16.19

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/19 + 1/34. Time = 1 ÷ combined rate = 12.19 days.

This question belongs to: Maths Time and Work

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Question #1

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If 10 men can complete a project in 12 days, how many more men are required to finish it in 8 days?

A. 6

B. 4

C. 5

D. 8

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Correct Answer: Option C

Explanation:
Using M1 * D1 = M2 * D2: 10 * 12 = M2 * 8 => 120 = 8 * M2 => M2 = 15 men. More men required = 15 - 10 = 5.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 21 days and B in 25 days. If they work together, the work will be completed in:

A. 26.41

B. 11.41

C. 16.41

D. 21.41

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Correct Answer: Option B

Explanation:
Combined rate = 1/21 + 1/25. Required time = 11.41 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 15 days and B in 32 days. If both work together, in how many days will the work be completed?

A. 17.71

B. 15.21

C. 10.21

D. 12.71

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Correct Answer: Option C

Explanation:
Combined rate = 1/15 + 1/32. Time = 10.21 days.

This question belongs to: Maths Time and Work

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