Answer:
It will take 1.43 hours for them to clean the car.
Step-by-step explanation:
The together rate is the sum of each separate rate.
In this problem:
Together rate: 1/x
Tanya's rate: 1/2
Pat's rate: 1/5
Together rate = Tanya's rate + Pat's rate
[tex]\frac{1}{x} = \frac{1}{2} + \frac{1}{5}[/tex]
[tex]\frac{1}{x} = \frac{5 + 2}{10}[/tex]
[tex]\frac{1}{x} = \frac{7}{10}[/tex]
[tex]7x = 10[/tex]
[tex]x = \frac{10}{7}[/tex]
[tex]x = 1.43[/tex]
It will take 1.43 hours for them to clean the car.
