A is 25% more efficient than B. If they working together can finish a work in 20 days, then in how many days can B alone finish it? MCQ with Answer and Explanation

A is 25% more efficient than B. If they working together can finish a work in 20 days, then in how many days can B alone finish it?
A. 45 days
B. 40 days
C. 36 days
D. 50 days
Answer: Option A
Solution (By JKSSB Mock Tests)
Let efficiency of B = 4, then efficiency of A = 5. Combined efficiency = 9 units/day. Total work = 20 * 9 = 180 units. Time taken by B alone = 180 / 4 = 45 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 13 days and B in 28 days. If they work together, the work will be completed in:
A. 8.88
B. 18.88
C. 23.88
D. 13.88

Correct Answer: Option A


Explanation:
Combined rate = 1/13 + 1/28. Required time = 8.88 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 18 days and B in 19 days. If they work together, the work will be completed in:
A. 9.24
B. 24.24
C. 14.24
D. 19.24

Correct Answer: Option A


Explanation:
Combined rate = 1/18 + 1/19. Required time = 9.24 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 20 days and B in 40 days. After working together for 5 days, what percentage of work remains?
A. 62.5
B. 65.0
C. 70.0
D. 67.5

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/20+1/40))×100 = 62.5%.

This question belongs to: Maths Time and Work