A can complete a work in 14 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 14 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. 13.92

B. 11.92

C. 15.92

D. 9.92

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/14 + 1/34. Time = 1 ÷ combined rate = 9.92 days.

This question belongs to: Maths Time and Work

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Question #1

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16 men can complete a work in 20 days. If 20 men work at the same rate, in how many days will the work be completed?

A. 20.0

B. 16.0

C. 22.0

D. 18.0

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Correct Answer: Option B

Explanation:
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.

This question belongs to: Maths Time and Work

Question #2

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10 men can complete a work in 14 days. If 14 men work at the same rate, in how many days will the work be completed?

A. 16.0

B. 10.0

C. 12.0

D. 14.0

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Correct Answer: Option B

Explanation:
Total work = 10 × 14 = 140 man-days. Required days = 140/14 = 10.0 days.

This question belongs to: Maths Time and Work

Question #3

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15 men can complete a work in 13 days. If 19 men work at the same rate, in how many days will the work be completed?

A. 12.26

B. 14.26

C. 16.26

D. 10.26

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Correct Answer: Option D

Explanation:
Total work = 15 × 13 = 195 man-days. Required days = 195/19 = 10.26 days.

This question belongs to: Maths Time and Work

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