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: $1\frac{3}{5}$ hrs

Step-by-step explanation:

1st painter:  $\frac{1}{2}$

2nd painter: $\frac{1}{8}$

1st + 2nd = Together

$\frac{1}{2}$ + $\frac{1}{8}$ = $\frac{1}{x}$

$\frac{1}{2}(8x)$ + $\frac{1}{8}(8x)$ = $\frac{1}{x}(8x)$

4x + x = 8

5x = 8

 x = $\frac{8}{5}$

    = $1\frac{3}{5}$