A takes 6 days less the time taken by B to finish a piece of work. If Both A and B together can finish it in 4 days, find the time taken by B to finish the work.

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answer is C.

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Detailed Solution

Let B complete the work in x days.
A takes 6 days less the time taken by B
So, A can complete the work in (x −6) days
A and B together can finish the work in 4 days.
i.e.

-------------- (1)
1 day work of A =

1 day work of B =

On putting the values in equation

⇒

⇒ 8x − 2x = x2 − 6x
⇒ 0 =

⇒

When x − 12 = 0 or x − 2 = 0

x = 2 is not possible because when we put x = 2 in x − 6 we get −4 which is not possible.
Hence x = 12
B can complete the work in 12 days

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