Question

Noah entered a 100-mile bike race. He knows he can ride 32 miles in 160 minutes. At this rate, how long will it take him to finish the race? Use each table to find the answer. Next, explain which table you think works better in finding the answer.

Answer 1

Given that he took 160 minutes to cover 32 miles. So we have to find the rate of speed.

It is known that the formula of distance is,

$\begin{gathered} Distance=Speed\times Time \\ \text{Speed}=\frac{Dis\tan ce}{Time} \\ S=\frac{32}{160\times60} \\ S=0.2\text{ miles/minute} \end{gathered}$

Now with this rate of speed we nee to find the time taken by him to cover 100 mile.

$\begin{gathered} Distance=Speed\times Time \\ \text{Time}=\frac{Distance}{Speed} \\ \text{Time}=\frac{100}{0.2} \\ T=500\text{ minutes} \end{gathered}$

Hence the time taken by Noah to finish 100 mile race is, T=500 minutes.