# It takes Brad 2 hours to mow his lawn. It takes Kris 3 hours to mow the same lawn. At the same pace, how long would it take them to mow the lawn if they do the job together?

Dec 15, 2016

It would take them $1.2$ hours if they worked together.

#### Explanation:

For problems like these, we consider what fraction of the work can be done in one hour.

Call the time it takes them to mow the lawn together $x$.

$\frac{1}{2} + \frac{1}{3} = \frac{1}{x}$

$\frac{3}{6} + \frac{2}{6} = \frac{1}{x}$

$5 x = 6$

$x = \frac{6}{5} \to 1.2 \text{ hours}$

Hopefully this helps!