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

A. 11.5

B. 15.5

C. 13.5

D. 9.5

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined rate = 1/19 + 1/19. Time = 1 ÷ combined rate = 9.5 days.

This question belongs to: Maths Time and Work

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Question #1

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A can do a work in 21 days and B in 29 days. In how many days will they complete 75% of the work together?

A. 16.63

B. 11.63

C. 14.13

D. 9.13

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Correct Answer: Option D

Explanation:
Combined time for full work multiplied by 0.75 = 9.13 days.

This question belongs to: Maths Time and Work

Question #2

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27 men can complete a work in 20 days. If 35 men work at the same rate, how many days are required?

A. 15.43

B. 17.93

C. 20.43

D. 22.93

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Correct Answer: Option A

Explanation:
Total work = 540 man-days. Days = 15.43.

This question belongs to: Maths Time and Work

Question #3

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A can complete a work in 21 days and B can complete the same work in 26 days. If they work together, in how many days will the work be completed?

A. 15.62

B. 13.62

C. 17.62

D. 11.62

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Correct Answer: Option D

Explanation:
Combined rate = 1/21 + 1/26. Time = 1 ÷ combined rate = 11.62 days.

This question belongs to: Maths Time and Work

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