Question 1167702
r * t = d
r = rate
t = time
d = distance.


if r = rate of the bus, then 2r = rate of the car.
if x is the distance that the bus travels, then x + 68 is the distance the car traveled.


when time = 2, you get:


2r * 2 = x + 68 for the car.
r * 2 = x for the bus.


simplify to get:


4r = x + 68 for the car.
2r = x for the bus.


subtract the second equation from the first to get:


2r = 68


solve for r to get:


r = 35


the rate of the bus = 34 miles per hour.
the rate of the car = 68 miles per hour.


in 2 hours, the car travels 68 * 2 = 136 miles.
in 2 hours, the bus travels 34 * 2 = 68 miles.


the car travels 68 miles more than the bus in the same time.


your solution is the rate of the car = 68 miles per hour.