Question

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

Answer 1

Answer:

Person A paints the house in 12 days.

person B paints the house in 60 days.

Step-by-step 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:

$\frac{1}{x} + \frac{1}{5x} = \frac{1}{10}$

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.