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Question

A can do a work in 3 hours. B and C together can do it in 4 hours, while A and C together can do it in 2 hours. How much time will B alone take to do it?

This question was previously asked in
SSC GD 2018 Question Paper Hindi (11-Mar-2019) (Shift 3)
The correct answer is

12 hours

Work per hour = 1 ÷ time taken.

A = 1/3, (A + C) = 1/2

C = 1/2 - 1/3 = 1/6

(B + C) = 1/4, so B = 1/4 - 1/6 = 3/12 - 2/12 = 1/12

Time taken by B alone = 12 hours

Hence, 12 hours.

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