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Popular Word Problems >

Two hikers are 44 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other.

Solution

Tw o hik ers a re 44 mi l es a p a r t an d w a l kin g t o w a r d e a c h o t h er . T h ey m ee t in 10 h o u rs . F in d t h e r a t e o f e a c h hik er i f o n e hik er w a l k s 2.2 m p h f a s t er t han t h e o t h er .

Solution

first hike r^{'} s speed : 3.3

second hike r^{'} s speed : 1.1

Solution steps

Translate the problem into an equation:

x \cdot 10 + (x - 2.2) \cdot 10 = 44

Solve for

x, x \cdot 10 + (x - 2.2) \cdot 10 = 44 : x = \frac{33}{10}

Find speed

first hike r^{'} s speed : 3.3

second hike r^{'} s speed : 1.1

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