A and B work together. A alone can complete the work in 18 days and B alone in 26 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 18 days and B alone in 26 days. What percentage of the total daily work is contributed by A?
A. 64.09
B. 61.59
C. 66.59
D. 59.09
Answer: Option D
Solution (By JKSSB Mock Tests)
A share = (1/18) / (1/18+1/26) ×100 = 59.09%.

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Practice More Time and Work Questions

Question #1
A is 40% more efficient than B. If they together can finish a work in 10 days, in how many days can A alone finish it?
A. 14 days
B. 17(1/7) days
C. 15 days
D. 16(2/3) days

Correct Answer: Option B


Explanation:
Let efficiency of B = 5, then efficiency of A = 7. Combined efficiency = 12 units/day. Total work = 10 * 12 = 120 units. Time taken by A alone = 120 / 7 = 17(1/7) days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 19 days and B in 19 days. If both work together, in how many days will the work be completed?
A. 9.5
B. 17.0
C. 12.0
D. 14.5

Correct Answer: Option A


Explanation:
Combined rate = 1/19 + 1/19. Time = 9.5 days.

This question belongs to: Maths Time and Work
Question #3
12 men can complete a work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working and after 2 days, all of them stop working. How many women should be put on the job to complete the remaining work in 3 days?
A. 20
B. 15
C. 25
D. 18

Correct Answer: Option B


Explanation:
Total work = 12M * 4 = 48 man-days = 15W * 4 = 60 woman-days. So, 48M = 60W => 4M = 5W => 1M = 1.25W. Work done by 6 men in 2 days = 12 man-days. Remaining work = 48 - 12 = 36 man-days. Converting to woman-days: 36 * 1.25 = 45 woman-days. To complete 45 woman-days in 3 days, number of women required = 45 / 3 = 15 women.

This question belongs to: Maths Time and Work