# Person A can paint the neighbor&#39;s house 5 times as fast as Person B. The year A and B worked together, it took them 5 days. How long would it take for each Person A and Person B to paint the house?

Jan 2, 2018

See below.

#### Explanation:

It took 5 days to paint the house. Person A paints 5 times as fast as person B, so in 5 days person A painted $\frac{5}{6}$ths of the house, and person B painted $\frac{1}{6}$th of the house.

For person A:

5 days = $\frac{5}{6}$

1 day = $\frac{1}{6}$

$6 \cdot \left(\frac{1}{6}\right) = 6 \cdot 1$ day= 6 days. ( to paint all the house )

Person B:

5 days = $\frac{1}{6}$

1 day = $\frac{1}{30}$

$30 \cdot \left(\frac{1}{30}\right) = 30 \cdot 1$ day= 30 days. ( to paint all the house )