# A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5mph slower than the power boat. How do you find the speed of each boat?

##### 1 Answer
May 17, 2016

We will solve this problem using the formula $s = \frac{d}{t}$, where s is speed, d is distance and t is time.

#### Explanation:

Rearranging for time we get $t = \frac{d}{s}$. Since in this problem the time is being stated as being equal, we can set up the following equation, were x is the speed of the power boat.

$\frac{20}{x - 5} = \frac{40}{x}$

$20 x = 40 \left(x - 5\right)$

$20 x = 40 x - 200$

$200 = 20 x$

$10 = x$

The powerboat travels at 10 miles per hour and the cabin cruiser travels at 5 miles per hour.

Hopefully this helps!