A can do a work in 13 days and B in 29 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation

Question
A can do a work in 13 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 6.73
B. 11.73
C. 9.23
D. 14.23
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined time for full work multiplied by 0.75 = 6.73 days.
This question belongs to: Maths Time and Work
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Practice More Time and Work Questions

Question #1
A and B together can complete a piece of work in 8 days. If A alone can complete the same work in 12 days, in how many days can B alone complete it?
A. 24 days
B. 16 days
C. 18 days
D. 20 days
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Correct Answer: Option A

Explanation:
Total work = LCM(8, 12) = 24 units. Combined efficiency of A and B = 3. Efficiency of A = 2. Efficiency of B = 3 - 2 = 1. Time taken by B alone = 24 / 1 = 24 days.
This question belongs to: Maths Time and Work
Question #2
A can complete a work in 19 days and B in 30 days. If they work together, the work will be completed in:
A. 11.63
B. 26.63
C. 21.63
D. 16.63
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Correct Answer: Option A

Explanation:
Combined rate = 1/19 + 1/30. Required time = 11.63 days.
This question belongs to: Maths Time and Work
Question #3
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A. 40 days
B. 45 days
C. 50 days
D. 35 days
Discuss
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Correct Answer: Option A

Explanation:
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.
This question belongs to: Maths Time and Work
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