Question

A takes 6 days days less than B to finish a piece of work A and B together can finish the work in 4 days find the time taken by Bto finish the job.​

Answer 1

Answer:

B finish the work in 12 days.

Step-by-step explanation:

Let the number of days taken by A to finish the work be x.

Then, number of days taken by B to finish the work = x + 6

Now, work done by A in one day = 1/x

and work done by B in one day =  1/x+6

Now, we have:

⇒ 1/x+1/x+6=1/4

⇒ 2x+6/x²+6x = 1/4

⇒ x²+6x-8x-24 = 0

⇒ x²-2x-24 = 0

⇒ (x-6)(x+4)

⇒  x = 6 (neglecting x = -4)

Thus, time taken by B to finish the work = x + 6 = 12 days.

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