A can do a work in 15 days and B in 29 days. In how many days will they complete 75% of the work together? MCQ with Answer and Explanation

A can do a work in 15 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 9.91
B. 12.41
C. 14.91
D. 7.41
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined time for full work multiplied by 0.75 = 7.41 days.

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Practice More Time and Work Questions

Question #1
A can do a piece of work in 15 days and B in 20 days. They began the work together but A left after 4 days. In how many days will B complete the remaining work?
A. 10(1/3) days
B. 9(1/3) days
C. 8 days
D. 10(2/3) days

Correct Answer: Option D


Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 4 days, work completed = 4 * 7 = 28 units. Remaining work = 60 - 28 = 32 units. Time taken by B to complete remaining work = 32 / 3 = 10(2/3) days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 24 days and B in 26 days. If they work together, the work will be completed in:
A. 27.48
B. 22.48
C. 17.48
D. 12.48

Correct Answer: Option D


Explanation:
Combined rate = 1/24 + 1/26. Required time = 12.48 days.

This question belongs to: Maths Time and Work
Question #3
A and B work together. A alone can complete the work in 30 days and B alone in 24 days. What percentage of the total daily work is contributed by A?
A. 44.44
B. 46.94
C. 49.44
D. 51.94

Correct Answer: Option A


Explanation:
A share = (1/30) / (1/30+1/24) ×100 = 44.44%.

This question belongs to: Maths Time and Work