A and B work together. A alone can complete the work in 30 days and B alone in 32 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 32 days. What percentage of the total daily work is contributed by A?
A. 54.11
B. 56.61
C. 59.11
D. 51.61
Answer: Option D
Solution (By JKSSB Mock Tests)
A share = (1/30) / (1/30+1/32) ×100 = 51.61%.

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Practice More Time and Work Questions

Question #1
A is 50% more efficient than B. C does half of the work done by A and B together in the same time. If C alone can do the work in 40 days, then A, B and C together can do the work in:
A. 20 days
B. 15 days
C. 30 days
D. 13(1/3) days

Correct Answer: Option D


Explanation:
Let efficiency of B = 2, then efficiency of A = 3. Combined efficiency of A and B = 5. Efficiency of C = 5 / 2 = 2.5. Total work = Efficiency of C * Time taken by C = 2.5 * 40 = 100 units. Combined efficiency of A, B and C = 3 + 2 + 2.5 = 7.5 units/day. Time taken together = 100 / 7.5 = 1000 / 75 = 40 / 3 = 13(1/3) days.

This question belongs to: Maths Time and Work
Question #2
18 men can complete a work in 30 days. If 23 men work at the same rate, the work will be completed in:
A. 23.48
B. 38.48
C. 28.48
D. 33.48

Correct Answer: Option A


Explanation:
Total work = 540 man-days. Time = 540/23 = 23.48 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 10 days and B in 20 days. After working together for 5 days, what percentage of work remains?
A. 27.5
B. 30.0
C. 32.5
D. 25.0

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/10+1/20))×100 = 25.0%.

This question belongs to: Maths Time and Work