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A woman can bicycle 21 miles in the same time as it takes her to walk 7 miles. She can ride 7 mph faster than she can walk. How fast can she walk?

Solution

A woman can bicycle 21 miles in the same time as it takes her to walk 7 miles. She can ride 7 mph faster than she can walk. How fast can she walk?

Solution

walking speed : 3.5

Solution steps

Translate the problem into an equation:

\frac{21}{x + 7} = \frac{7}{x}

Solve for

x, \frac{21}{x + 7} = \frac{7}{x} : x = \frac{7}{2}

Simplify

walking speed : 3.5

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