A and B work together. A alone can complete the work in 30 days and B alone in 34 days. What percentage of the total daily work is contributed by A? MCQ with Answer and Explanation

A and B work together. A alone can complete the work in 30 days and B alone in 34 days. What percentage of the total daily work is contributed by A?
A. 58.12
B. 53.12
C. 55.62
D. 60.62
Answer: Option B
Solution (By JKSSB Mock Tests)
A share = (1/30) / (1/30+1/34) ×100 = 53.12%.

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Practice More Time and Work Questions

Question #1
A and B can do a piece of work in 45 and 40 days respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. After how many days did A leave?
A. 12 days
B. 6 days
C. 9 days
D. 8 days

Correct Answer: Option C


Explanation:
Total work = LCM(45, 40) = 360 units. Efficiency of A = 8, B = 9. B worked alone for 23 days: work done = 23 * 9 = 207 units. Remaining work = 360 - 207 = 153 units. This was done by A and B together. Combined efficiency = 8 + 9 = 17. Number of days they worked together = 153 / 17 = 9 days. Thus, A left after 9 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 9 days and B in 13 days. If they work together, the work will be completed in:
A. 5.32
B. 20.32
C. 10.32
D. 15.32

Correct Answer: Option A


Explanation:
Combined rate = 1/9 + 1/13. Required time = 5.32 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 20 days and B in 22 days. If they work together, the work will be completed in:
A. 15.48
B. 10.48
C. 25.48
D. 20.48

Correct Answer: Option B


Explanation:
Combined rate = 1/20 + 1/22. Required time = 10.48 days.

This question belongs to: Maths Time and Work