# Ashley can paint a 10 ft by 14 ft wall in 20 minutes Maddie can paint the same sized wall in 14 minutes, If Ashley and Maddie are both painting at the same time, how long will it take them together to paint the same sized wall?

##### 2 Answers

Combined, it should take them 8.2353 minutes to paint the 10'x14' wall.

#### Explanation:

What we need to do here is determine Ashley and Maddie's painting rates, before combining and evaluating. If we call Ashley's painting rate

Now that they're working together, we can determine the amount of time for the 10'x14' wall:

approximately

#### Explanation:

The given wall area is

He paints it in 20 minutes so their rate of painting for each minute is:

She paints it in 14 minutes so their rate of painting for each minute is:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The combined rate is

Thus the working together time is:

approximately