Question

Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it

took them 10 days. How long would it take each to paint the house?

Answer 1

Person A paints the house in 12 days.

person B paints the house in 60 days.

Explanation:

The together rate is the sum of each separate rate.

Person A can paint the neighbor's house 5 times as fast as Person B.

This means that the rate of person A is 1/x, and the rate of person B is 1/5x.

The year A and B worked together, it took them 10 days.

This means that:

`(1)/(x) + (1)/(5x) = (1)/(10)`

Multiplying everything by 10x

`10 + 2 = x`

`x = 12`

This means that:

Person A paints the house in 12 days.

person B paints the house in 60 days.