Question

Stephen can travel 8 miles in 1/2 hour on his bike. If it is currently 1:00 P.M. and he plans to ridea total of 16 miles, what time will he arrive at his destination? Explain how you solved theproblem. *

Answer 1

Stephen can travel 8 miles in 1/2 hour on his bike.

The rate at which Stephen can travel is given by

$\begin{gathered} rate=\frac{distance}{time} \\ rate=\frac{8}{0.5} \\ rate=16\; \; \frac{mi}{\text{hr}} \end{gathered}$

So, the rate is 16 miles per hour.

If Stephen plans to ride a distance of 16 miles then the required time is

$\begin{gathered} time=\frac{distance}{rate} \\ time=\frac{16}{16} \\ time=1\; \text{hour} \end{gathered}$

So, it would take Stephen 1 hour.

If it is currently 1:00 P.M then he will arrive at his destination at 1 hour later that is 2:00 P.M