# Two boats travel at right angles to each other after leaving the same dock at the same time. 1 hour later they are 5 miles apart. If one travels 1 miles faster than the other, what is the rate of each?

##### 1 Answer

Feb 16, 2017

Faster boat: 4 miles/hr; Slower boat: 3 miles/hr

#### Explanation:

Let the slower boat travel at

After 1 hour the slower boat has travelled

and the faster boat has travelled

We are told that:

(i) the boats travel at right angles to each other and

(ii) after 1 hour the boats are 5 miles apart

Hence we can use Pythagoras on the right angle triangle formed by the path of both boats and the distance between them as follows:

Since: