Question

Sam and you are going to paint your room together.

Answer 1

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:

$\frac{1}{x} = \frac{1}{20} + \frac{1}{10}$

$\frac{1}{x} = \frac{1}{20} + \frac{2}{20}$

$\frac{1}{x} = \frac{3}{20}$

$3x = 20$

$x = \frac{20}{3} = 6.67$

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.