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Popular Word Problems >

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

Tw o hik ers a re 33 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 5 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 : 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

Popular Examples

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