Answer:
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Step-by-step explanation:
The together rate is the sum of the separate rates.
In this question:
Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.
Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.
Together rate:
[tex]\frac{1}{x} = \frac{1}{20} + \frac{1}{10}[/tex]
[tex]\frac{1}{x} = \frac{1}{20} + \frac{2}{20}[/tex]
[tex]\frac{1}{x} = \frac{3}{20}[/tex]
[tex]3x = 20[/tex]
[tex]x = \frac{20}{3} = 6.67[/tex]
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
