A can do a work in 11 days and B in 17 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 11 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 12.51
B. 5.01
C. 10.01
D. 7.51
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined time for full work multiplied by 0.75 = 5.01 days.
This question belongs to: Maths Time and Work
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Practice More Time and Work Questions

Question #1
A can complete a work in 13 days and B can complete the same work in 23 days. If they work together, in how many days will the work be completed?
A. 14.31
B. 12.31
C. 10.31
D. 8.31
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Correct Answer: Option D

Explanation:
Combined rate = 1/13 + 1/23. Time = 1 ÷ combined rate = 8.31 days.
This question belongs to: Maths Time and Work
Question #2
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. 14.96
B. 10.96
C. 12.96
D. 16.96
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Correct Answer: Option B

Explanation:
Combined rate = 1/18 + 1/28. Time = 1 ÷ combined rate = 10.96 days.
This question belongs to: Maths Time and Work
Question #3
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. 18 days
B. 24 days
C. 20 days
D. 16 days
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Correct Answer: Option B

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
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