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=(d)/(t)\Rightarrow S=(1(1)/(2))/(2(1)/(4))=(1+(1)/(2))/(2+(1)/(4))=((2+1)/(2))/((8+1)/(4))=((3)/(2))/((9)/(4))=(3)/(2)\cdot(4)/(9)=(12)/(18)=(6)/(9)=(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=(2)/(3)\cdot34\Rightarrow d=(68)/(3)=(66)/(3)+(2)/(3)=22+(2)/(3)=22(2)/(3)`

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

The car will travel in one hour or 60 minutes:

`d=(2)/(3)\cdot60=(120)/(3)\Rightarrow d=40`

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