Question

vinay and praveen working together can paint the exterior of the house in 6 days. vinay by himself can complete the job in 5 days less than praveen. how long will it take vinay to complete the job. I want the correct explanation

Answer 1

let parveen can do work in x days
vinay can do in x-5 days

now

1/x. + 1/(x-5)=1/6

12x-30=x2-5x
x2-17x+30=0

x-15=0
x=15
vinay cam complete task in 15-5=10 days.

Answer 2

Answer

Vinay take 15 days to complete the job

Explanation

Vinay and praveen working together can paint the exterior of the house in 6 days.

one day work of both of them is 1/6

Let x be the number of days taken by Praveen

The number of days taken by  Vinay = x-5

One day work of Praveen =1/x

One day work of Vinay=1/(x-5)

They together work 1/6 th of total work in one day

1/x + 1/(x-5) = 16

x^2 - 17x + 30 =0

Solving we get x= 15

Vinay take 15 days to complete the job