A can do a work in 13 days and B in 17 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation

A can do a work in 13 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 8.02
B. 13.02
C. 10.52
D. 5.52
Answer: Option D
Solution (By JKExamLibrary)
Combined time for full work multiplied by 0.75 = 5.52 days.

This question belongs to: Maths Time and Work

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Practice More Time and Work Questions

Question #1 Report Error
A can complete a work in 31 days and B in 31 days. If both work together, in how many days will the work be completed?
A. 23.0
B. 20.5
C. 15.5
D. 18.0

Correct Answer: Option C


Explanation:
Combined rate = 1/31 + 1/31. Time = 15.5 days.

This question belongs to: Maths Time and Work
Question #2 Report Error
A and B work together. A alone can complete the work in 24 days and B alone in 34 days. What percentage of the total daily work is contributed by A?
A. 61.12
B. 58.62
C. 63.62
D. 66.12

Correct Answer: Option B


Explanation:
A share = (1/24) / (1/24+1/34) ×100 = 58.62%.

This question belongs to: Maths Time and Work
Question #3 Report Error
A and B can complete a piece of work in 18 days and 24 days respectively. They worked together for 6 days and then A left. In how many days will B complete the remaining work?
A. 8 days
B. 10 days
C. 14 days
D. 12 days

Correct Answer: Option B


Explanation:
Total work = LCM(18, 24) = 72 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by B to finish remaining work = 30 / 3 = 10 days.

This question belongs to: Maths Time and Work