A is twice as efficient as B and can complete a piece of work in 15 days less than B. In how many days can B alone complete the work? MCQ with Answer and Explanation

A is twice as efficient as B and can complete a piece of work in 15 days less than B. In how many days can B alone complete the work?
A. 20 days
B. 45 days
C. 25 days
D. 30 days
Answer: Option D
Solution (By JKSSB Mock Tests)
Ratio of efficiency of A to B = 2 : 1. Ratio of time taken by A to B = 1 : 2. Difference in time = 2 - 1 = 1 part, which corresponds to 15 days. Therefore, time taken by B = 2 * 15 = 30 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 14 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?
A. 10.06
B. 12.06
C. 8.06
D. 14.06

Correct Answer: Option C


Explanation:
Combined rate = 1/14 + 1/19. Time = 1 ÷ combined rate = 8.06 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 23 days and B in 46 days. After working together for 5 days, what percentage of work remains?
A. 72.39
B. 67.39
C. 69.89
D. 74.89

Correct Answer: Option B


Explanation:
Remaining work = (1 - 5*(1/23+1/46))×100 = 67.39%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 15 days and B in 25 days. If both work together, in how many days will the work be completed?
A. 16.88
B. 9.38
C. 11.88
D. 14.38

Correct Answer: Option B


Explanation:
Combined rate = 1/15 + 1/25. Time = 9.38 days.

This question belongs to: Maths Time and Work