To write the equation representing the motion of the faster car, we need to determine which car is faster. We can compare the rates at which both cars travel.
For Road 1, the car can go 60 miles in 2 hours. Thus, the rate of the car on Road 1 is given by 60 miles/2 hours = 30 miles/hour.
For Road 2, the car can go 90 miles in 4 hours. Thus, the rate of the car on Road 2 is given by 90 miles/4 hours = 22.5 miles/hour.
Comparing the rates, we can see that the car on Road 1 is faster than the car on Road 2.
Hence, we will write the equation representing the motion of the car on Road 1.
Let y be the distance in miles and x be the time in hours for the car on Road 1.
The equation representing the motion of the car on Road 1 would be:
y = 30x