# Sam's tractor is just as fast as Gail's. It takes sam 2 hours more than it takes gail to drive to town. If sam is 96 miles from town and gail is 72 miles from town, how long does it take gail to drive to town?

Jul 11, 2016

The formula $s = \frac{d}{t}$ is useful for this problem. Since the speed is equal, we can use the formula as is.

Let the time, in hours, it takes Gail to drive to town be $x$ and that of Sam be $x + 2$.

$\frac{96}{x + 2} = \frac{72}{x}$

$96 \left(x\right) = 72 \left(x + 2\right)$

$96 x = 72 x + 144$

$24 x = 144$

$x = 6$

Hence, it takes Gail $6$ hours to drive into town.

Hopefully this helps!