Question

A takes 6 days less than b to do a certain job and 2 days more than c

Answer 1

Dear Student,

# Complete question -

Q. A takes 6 days less than B to do a certain job and 2 days more than C; A and B together can do the job in same time as C. How many days A would take to do itn?

◆ Answer -

6 days

◆ Explanation -

Let x be no of days taken by A to complete work. Then B will take x-6 and C will take x+2 days to complete the work.

Now,

1/x + 1/(x+6) = 1/(x-2)

(2x+6) / x(x+6) = 1/(x-2)

x(x+6) = (2x+6)(x-2)

x^2 - 4x - 12 = 0

Solving this we'll get,

x = 6

Hence, A will take 6 days to complete the work.

Thanks dear...