Two hikers are 33 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.

Solution

Solution

first hike r^{'} s speed : 4.4

second hike r^{'} s speed : 2.2

Solution steps

Translate the problem into an equation:

x \cdot 5 + (x - 2.2) \cdot 5 = 33

Solve for

x, x \cdot 5 + (x - 2.2) \cdot 5 = 33 : x = \frac{22}{5}

Find speed

first hike r^{'} s speed : 4.4

second hike r^{'} s speed : 2.2

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