Question

A car is traveling at a steady speed. It travels 1 miles in 2 minutes. 2 4 How far will it travel in 34 minutes? In 1 hour? The car will travel miles in 34 minutes. Simplify your answer.

Answer 1

To answer this question, we need to find the unit rate for the steady speed. Then, we can proceed as follows:

$S=\frac{d}{t}\Rightarrow S=\frac{1\frac{1}{2}}{2\frac{1}{4}}=\frac{1+\frac{1}{2}}{2+\frac{1}{4}}=\frac{\frac{2+1}{2}}{\frac{8+1}{4}}=\frac{\frac{3}{2}}{\frac{9}{4}}=\frac{3}{2}\cdot\frac{4}{9}=\frac{12}{18}=\frac{6}{9}=\frac{2}{3}$

Then, we have that the unit rate, in this case, is 2/3 miles per minute.

Hence, the car will travel in 34 minutes:

$d=S\cdot t=\frac{2}{3}\cdot34\Rightarrow d=\frac{68}{3}=\frac{66}{3}+\frac{2}{3}=22+\frac{2}{3}=22\frac{2}{3}$

Thus, the car will travel 222/3 miles in 34 minutes.

The car will travel in one hour or 60 minutes:

$d=\frac{2}{3}\cdot60=\frac{120}{3}\Rightarrow d=40$

Then, the car will travel 40 miles in one hour or 60 minutes.