Question

My parents recently moved to the Poconos, they got 30 or more inches of snow from this last snow storm. It took my Dad 2 hours to clear 10 feet of their driveway. If their driveway is 120 feet long, how long will it take him to clear their driveway?

Answer 1

To determine how much will it take to clean a 120ft driveway considering that it took him 2hs to clear 10ft and that the cleaning rate is constant, you can use cross multiplication:

10ft______2hs

120ft_____xhs

If the cleaning rate is the same, then the ratios between both are the same:

$\frac{2}{10}=\frac{x}{120}$

From this expression, you can determine the time by multiplying both sides of the equal sign by 120

$\begin{gathered} 120(\frac{2}{10})=\frac{120x}{120} \\ 24=x \end{gathered}$

It will take him 24 hours to clear the 120ft driveway.