A and B work together. A alone can complete the work in 30 days and B alone in 36 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 36 days. What percentage of the total daily work is contributed by A?
A. 54.55
B. 59.55
C. 62.05
D. 57.05
Answer: Option A
Solution (By JKSSB Mock Tests)
A share = (1/30) / (1/30+1/36) ×100 = 54.55%.

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Practice More Time and Work Questions

Question #1
31 men can complete a work in 29 days. If 39 men work at the same rate, how many days are required?
A. 23.05
B. 25.55
C. 30.55
D. 28.05

Correct Answer: Option A


Explanation:
Total work = 899 man-days. Days = 23.05.

This question belongs to: Maths Time and Work
Question #2
A and B can complete a piece of work in 12 and 18 days respectively. They begin the work together, but A leaves 4 days before the completion of the work. For how many days did A and B work together?
A. 6 days
B. 5 days
C. 4.4 days
D. 5.6 days

Correct Answer: Option D


Explanation:
Total work = LCM(12, 18) = 36 units. Efficiency of A = 3, B = 2. Let total days be x. B works for x days, A works for (x - 4) days. 3(x - 4) + 2x = 36 => 3x - 12 + 2x = 36 => 5x = 48 => x = 9.6 days. A and B worked together for x - 4 = 9.6 - 4 = 5.6 days.

This question belongs to: Maths Time and Work
Question #3
21 men can complete a work in 29 days. If 29 men work at the same rate, how many days are required?
A. 23.5
B. 21.0
C. 28.5
D. 26.0

Correct Answer: Option B


Explanation:
Total work = 609 man-days. Days = 21.0.

This question belongs to: Maths Time and Work