A is twice as efficient as B. If they complete a piece of work together in 14 days, how many days will A alone take to finish it? MCQ with Answer and Explanation

A is twice as efficient as B. If they complete a piece of work together in 14 days, how many days will A alone take to finish it?
A. 28 days
B. 21 days
C. 35 days
D. 42 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Let B's efficiency be 1 unit/day, so A's efficiency is 2 units/day. Combined efficiency = 3 units/day. Total work = 3 * 14 = 42 units. Time taken by A alone = 42 / 2 = 21 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 15 days and B in 18 days. If they work together, the work will be completed in:
A. 8.18
B. 18.18
C. 13.18
D. 23.18

Correct Answer: Option A


Explanation:
Combined rate = 1/15 + 1/18. Required time = 8.18 days.

This question belongs to: Maths Time and Work
Question #2
If 3 men or 5 women can do a piece of work in 12 days, in how many days will 6 men and 5 women complete the same work?
A. 6 days
B. 3 days
C. 5 days
D. 4 days

Correct Answer: Option D


Explanation:
3 Men = 5 Women => 6 Men = 10 Women. 6 men + 5 women = 10 women + 5 women = 15 women. Since 5 women take 12 days, 15 women will take (5 * 12) / 15 = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 10 days and B can complete the same work in 15 days. If they work together, in how many days will the work be completed?
A. 12.0
B. 10.0
C. 6.0
D. 8.0

Correct Answer: Option C


Explanation:
Combined rate = 1/10 + 1/15. Time = 1 ÷ combined rate = 6.0 days.

This question belongs to: Maths Time and Work