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Popular Word Problems >

A woman can bicycle 78 miles in the same time as it takes her to walk 18 miles. She can ride 10 mph faster than she can walk. How fast can she walk?

Solution

A w o man c an bi cyc l e 78 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 18 mi l es . S h e c an r i d e 10 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

Solution steps

Translate the problem into an equation:

\frac{78}{x + 10} = \frac{18}{x}

Solve for

x, \frac{78}{x + 10} = \frac{18}{x} : x = 3

walking speed : 3

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