# Two bicyclists ride in opposite directions. The speed of the first bicyclist is 5miles per hour faster than the second. After 2hours they are 70miles apart. How do you find their rates?

##### 1 Answer

(see below for method of solution)

#### Explanation:

Suppose the second bicyclist is traveling at

(which implies the the first is traveling at

The distance between them is increasing at the rate of

If after

Simplifying

That is, the second bicyclist is traveling at

and the first bicyclist is traveling at