A can do a work in 17 days and B in 17 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation

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A can do a work in 17 days and B in 17 days. In how many days will they complete 75% of the work together?

A. 6.38

B. 8.88

C. 11.38

D. 13.88

Answer: Option A

Solution (By JKSSB Mock Tests)

Combined time for full work multiplied by 0.75 = 6.38 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 10 days and B in 30 days. If they work together, the work will be completed in:

A. 12.5

B. 7.5

C. 22.5

D. 17.5

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Correct Answer: Option B

Explanation:
Combined rate = 1/10 + 1/30. Required time = 7.5 days.

This question belongs to: Maths Time and Work

Question #2

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10 men can complete a work in 7 days. But 10 women can complete the same work in 14 days. If 5 men and 10 women work together, in how many days will the work be completed?

A. 8 days

B. 6 days

C. 7 days

D. 5 days

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Correct Answer: Option C

Explanation:
Efficiency of 10 men = 1/7, so 1 man = 1/70. Efficiency of 10 women = 1/14. Efficiency of 5 men and 10 women = 5*(1/70) + 1/14 = 1/14 + 1/14 = 2/14 = 1/7. Thus, they will complete the work in 7 days.

This question belongs to: Maths Time and Work