Question

A car travels 180 miles in 3 hours. Assuming the speed is contant, write and equation to represent the distance d the car travels in t hours. use the equation to find how far travel in 7 hours

Answer 1

To represent the distance \( d \) the car travels in \( t \) hours, we start by determining the speed of the car. Given that the car travels 180 miles in 3 hours, we can calculate the speed \( s \) as follows:

\[
s = \frac{\text{Distance}}{\text{Time}} = \frac{180 \text{ miles}}{3 \text{ hours}} = 60 \text{ miles per hour}
\]

Next, we can write an equation for the distance \( d \) in terms of time \( t \):

\[
d = s \cdot t
\]

Substituting the speed of the car into the equation:

\[
d = 60t
\]

Now, to find how far the car travels in 7 hours, we can substitute \( t = 7 \) into the equation:

\[
d = 60 \cdot 7
\]
\[
d = 420
\]

Therefore, the car travels **420 miles** in 7 hours.