Question

A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minutes

Answer 1

Find the rate at which the car travels. It is 2 1/3 miles divided by 3 1/2 minutes:

7
--
3
--------- = 2/3 mile per minute.
7
---
2

Then y = (distance traveled) = (2/3 mile per minute)x, where x is the number of minutes involved.

Answer 2

x =
`(2)/(3)* t`

Explanation:

We know the formula to represent the speed is,

Speed =
`\frac{\text{Distance}}{\text{Time}}`

If a car travels the distance =
`(7)/(3)` miles in
`(7)/(2)` minutes then the speed will be

Speed =
`((7)/(3))/((7)/(2))`

=
`(7)/(3)* (2)/(7)`

=
`(2)/(3)` miles per minute

If the car travels x miles in t minutes then the equation to calculate the distance will be

`(2)/(3)=(x)/(t)`

x =
`(2)/(3)* t`

Therefore, the equation that represents the distance in terms of time will be

x =
`(2)/(3)* t`