Two hikers are 22 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other

The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.

Step-by-step explanation:

Let suppose that each hiker travels at constant speed, such that kinematic formulas are, respectively:

Hiker A

Hiker B

Relationship

(They walk toward each other)

Where:

, - Initial and final position of the hiker A, measured in miles.

, - Initial and final position of the hiker B, measured in miles.

- Time, measured in hours.

, - Velocities of hikers A and B, measured in miles per hour.

Given that , , and , the system of equation is reduced to the following:

Now, the velocity of the hiker A is:

The hikers A and B travel at rates of 1.1 miles per hour and 3.3 miles per hour, respectively.