A and B work together. A alone can complete the work in 18 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 18 days and B alone in 28 days. What percentage of the total daily work is contributed by A?
A. 68.37
B. 60.87
C. 65.87
D. 63.37
Answer: Option B
Solution (By JKSSB Mock Tests)
A share = (1/18) / (1/18+1/28) ×100 = 60.87%.

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Practice More Time and Work Questions

Question #1
A can build a wall in 20 days, while B can destroy it in 30 days. If they work on alternate days starting with A, in how many days will the wall be completely built?
A. 116 days
B. 113 days
C. 115 days
D. 120 days

Correct Answer: Option C


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = +3, B = -2. In 2 days (A then B), net work done = 3 - 2 = 1 unit. We need to reach 60 units. Since A can add 3 units on his turn, we find when work reaches 60 - 3 = 57 units. 57 units will be done in 57 * 2 = 114 days. On the 115th day, A works and completes 3 units, making the total work 57 + 3 = 60 units. So, the wall is built in 115 days.

This question belongs to: Maths Time and Work
Question #2
Three pumps working 8 hours a day can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the same tank in 1 day?
A. 16 hours
B. 10 hours
C. 12 hours
D. 15 hours

Correct Answer: Option C


Explanation:
Using P1 * D1 * H1 = P2 * D2 * H2: 3 * 2 * 8 = 4 * 1 * H2 => 48 = 4 * H2 => H2 = 12 hours.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 25 days and B in 50 days. After working together for 5 days, what percentage of work remains?
A. 72.5
B. 75.0
C. 77.5
D. 70.0

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/25+1/50))×100 = 70.0%.

This question belongs to: Maths Time and Work