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? MCQ with Answer and Explanation

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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. 8.89

B. 11.39

C. 16.39

D. 13.89

Answer: Option A

Solution (By JKSSB Mock Tests)

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

This question belongs to: Maths Time and Work

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Question #1

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15 men can complete a work in 25 days. If 19 men work at the same rate, in how many days will the work be completed?

A. 25.74

B. 23.74

C. 19.74

D. 21.74

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Correct Answer: Option C

Explanation:
Total work = 15 × 25 = 375 man-days. Required days = 375/19 = 19.74 days.

This question belongs to: Maths Time and Work

Question #2

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

A. 14.0

B. 18.0

C. 16.0

D. 12.0

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Correct Answer: Option D

Explanation:
Total work = 12 × 16 = 192 man-days. Required days = 192/16 = 12.0 days.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 14 days and B in 37 days. If both work together, in how many days will the work be completed?

A. 12.66

B. 15.16

C. 10.16

D. 17.66

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Correct Answer: Option C

Explanation:
Combined rate = 1/14 + 1/37. Time = 10.16 days.

This question belongs to: Maths Time and Work

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