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Popular Word Problems >

a woman can bicycle 84 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How fast can she walk?

Solution

a w o man c an bi cyc l e 84 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 12 mi l es . S h e c an r i d e 9 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 : 1.5

Solution steps

Translate the problem into an equation:

\frac{84}{x + 9} = \frac{12}{x}

Solve for

x, \frac{84}{x + 9} = \frac{12}{x} : x = \frac{3}{2}

Simplify

walking speed : 1.5

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