It takes a bicycle the same time to travel 7 miles as it takes a boat to travel 11 miles. If the boat is traveling 9mph faster than the bicycle, how fast is each traveling? Round answers to the nearest tenth place if necessary.

Solution

Solution

bicycl e^{'} s speed : 15.75

boa t^{'} s speed : 24.75

Solution steps

Translate the problem into an equation:

\frac{7}{x} = \frac{11}{x + 9}

Solve for

x, \frac{7}{x} = \frac{11}{x + 9} : x = \frac{63}{4}

Find speed

bicycl e^{'} s speed : 15.75

boa t^{'} s speed : 24.75

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