A can complete a work in 18 days and B can complete the same work in 28 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 18 days and B can complete the same work in 28 days. If they work together, in how many days will the work be completed?

A. 16.96

B. 10.96

C. 12.96

D. 14.96

Answer: Option B

Solution (By JKSSB Mock Tests)

Combined rate = 1/18 + 1/28. Time = 1 ÷ combined rate = 10.96 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 24 days and B in 18 days. If they work together, the work will be completed in:

A. 25.29

B. 10.29

C. 20.29

D. 15.29

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Correct Answer: Option B

Explanation:
Combined rate = 1/24 + 1/18. Required time = 10.29 days.

This question belongs to: Maths Time and Work

Question #2

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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. 15.5

B. 11.5

C. 13.5

D. 9.5

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Correct Answer: Option D

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

This question belongs to: Maths Time and Work

Question #3

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A can do a work in 19 days and B in 23 days. In how many days will they complete 75% of the work together?

A. 12.8

B. 15.3

C. 7.8

D. 10.3

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Correct Answer: Option C

Explanation:
Combined time for full work multiplied by 0.75 = 7.8 days.

This question belongs to: Maths Time and Work

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