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:
[tex]\frac{1}{x} + \frac{1}{5x} = \frac{1}{10}[/tex]
Multiplying everything by 10x
[tex]10 + 2 = x[/tex]
[tex]x = 12[/tex]
This means that:
Person A paints the house in 12 days.
person B paints the house in 60 days.
