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Popular Word Problems >

A woman can bicycle 42 miles in the same time as it takes her to walk 14 miles. She can ride 7 mph faster than she can walk. How fast can she walk?

Solution

A w o man c an bi cyc l e 42 mi l es in t h e s am e t im e a s i t t ak es h er t o w a l k 14 mi l es . S h e c an r i d e 7 m p h f a s t er t han s h e c an w a l k . Ho w f a s t c an s h e w a l k ?

Solution

walking speed : 3.5

Solution steps

Translate the problem into an equation:

\frac{42}{x + 7} = \frac{14}{x}

Solve for

x, \frac{42}{x + 7} = \frac{14}{x} : x = \frac{7}{2}

Simplify

walking speed : 3.5

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