A is twice as fast as B. If A and B together can complete a piece of work in 8 days, in how many days can A alone complete it? MCQ with Answer and Explanation

A is twice as fast as B. If A and B together can complete a piece of work in 8 days, in how many days can A alone complete it?
A. 10 days
B. 12 days
C. 24 days
D. 16 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Let efficiency of B = 1, then efficiency of A = 2. Combined efficiency = 3 units/day. Total work = 8 * 3 = 24 units. Time taken by A alone = 24 / 2 = 12 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 24 days and B in 23 days. If both work together, in how many days will the work be completed?
A. 19.24
B. 14.24
C. 11.74
D. 16.74

Correct Answer: Option C


Explanation:
Combined rate = 1/24 + 1/23. Time = 11.74 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 11 days and B can complete the same work in 16 days. If they work together, in how many days will the work be completed?
A. 12.52
B. 8.52
C. 6.52
D. 10.52

Correct Answer: Option C


Explanation:
Combined rate = 1/11 + 1/16. Time = 1 ÷ combined rate = 6.52 days.

This question belongs to: Maths Time and Work
Question #3
A can do a work in 14 days and B in 24 days. They work together for 5 days. What percentage of work remains?
A. 43.45
B. 53.45
C. 48.45
D. 58.45

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/14+1/24)) ×100 = 43.45%.

This question belongs to: Maths Time and Work