A can do a work in 17 days and B in 23 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 23 days. In how many days will they complete 75% of the work together?

A. 12.33

B. 14.83

C. 9.83

D. 7.33

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined time for full work multiplied by 0.75 = 7.33 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 13 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?

A. 9.33

B. 15.33

C. 13.33

D. 11.33

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Correct Answer: Option A

Explanation:
Combined rate = 1/13 + 1/33. Time = 1 ÷ combined rate = 9.33 days.

This question belongs to: Maths Time and Work

Question #2

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A can complete a work in 10 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?

A. 9.14

B. 7.14

C. 13.14

D. 11.14

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Correct Answer: Option B

Explanation:
Combined rate = 1/10 + 1/25. Time = 1 ÷ combined rate = 7.14 days.

This question belongs to: Maths Time and Work

Question #3

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If 3 men or 4 women can plow a field in 43 days, how long will 7 men and 5 women take to plow it?

A. 10 days

B. 8 days

C. 12 days

D. 15 days

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Correct Answer: Option C

Explanation:
3 Men = 4 Women => 1 Man = 4/3 Women. 7 men + 5 women = 7 * (4/3) + 5 = 28/3 + 5 = 43/3 women. Since 4 women take 43 days, 43/3 women will take (4 * 43) / (43/3) = 4 * 3 = 12 days.

This question belongs to: Maths Time and Work

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