A and B work together. A alone can complete the work in 30 days and B alone in 28 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 28 days. What percentage of the total daily work is contributed by A?
A. 55.78
B. 53.28
C. 48.28
D. 50.78
Answer: Option C
Solution (By JKSSB Mock Tests)
A share = (1/30) / (1/30+1/28) ×100 = 48.28%.

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Practice More Time and Work Questions

Question #1
A can complete a work in 10 days and B in 30 days. If they work together, the work will be completed in:
A. 17.5
B. 12.5
C. 7.5
D. 22.5

Correct Answer: Option C


Explanation:
Combined rate = 1/10 + 1/30. Required time = 7.5 days.

This question belongs to: Maths Time and Work
Question #2
A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 6000 as wages. Find the share of A.
A. Rs. 1800
B. Rs. 2000
C. Rs. 2500
D. Rs. 2400

Correct Answer: Option D


Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Ratio of wages is equal to ratio of efficiencies = 6 : 5 : 4. Total ratio parts = 6 + 5 + 4 = 15. Share of A = (6 / 15) * 6000 = 6 * 400 = Rs. 2400.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 10 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?
A. 6.0
B. 8.0
C. 12.0
D. 10.0

Correct Answer: Option A


Explanation:
Combined rate = 1/10 + 1/15. Time = 1 ÷ combined rate = 6.0 days.

This question belongs to: Maths Time and Work