Question

A car is traveling at a steady speed. It travels1 3/4 miles in 2 1/3 minutes. How far will it travel in 49 minutes ​? In 1 hour ​?

Answer 1

`36(3)/(4) miles` and
`45 miles` respectively

Explanation:

There are a few ways to solve this

1. First we find the speed of the car, which is the distance divided by time
   `speed=(distance)/(time)` now distance is
   `1(3)/(4) =(7)/(4) miles` and the time is
   `2(1)/(3) =(7)/(3) minutes`
2. Then
   `speed=(7)/(4) /(7)/(3)=(7)/(4) *(3)/(7)=(3)/(4) miles/minute`
3. Using this speed, we just find the distance using different time values
4. rewriting the formula so the distance is the subject gives
   `distance=speed*time`
5. So for time as 49 minutes we have
   `distance=((3)/(4)miles/minute)*(49minutes)=36(3)/(4) miles`
6. Then for time as 1 hour which is 60 minutes we have
   `distance=((3)/(4)miles/minute)*(60minutes)=45miles`