Question

The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it take them to finish the job if they were working together?

Answer 1

Answer:
`1(3)/(5)` hrs

Explanation:

1st painter:
`(1)/(2)`

2nd painter:
`(1)/(8)`

1st + 2nd = Together

`(1)/(2)` +
`(1)/(8)` =
`(1)/(x)`

`(1)/(2)(8x)` +
`(1)/(8)(8x)` =
`(1)/(x)(8x)`

4x + x = 8

5x = 8

x =
`(8)/(5)`

=
`1(3)/(5)`