An eastbound car is going 4 miles per hour faster than a westbound car. The cars are 208 miles apart

miles-per-hour

#1

. An eastbound car is going 4 miles per hour faster than a westbound car. The cars are 208 miles apart
2 hours after passing each other on a highway. What is the speed, in miles per hour, of the east bbound car?

Answer:

Let x=speed of westbound car, x+4=speed of eastbound car

Start counting when the cars pass each other
The speed that one car is getting farther away from the other one is the sum of both of their speeds; and they end up 208 miles apart after 2 hours.

Distance=rate x time
208=(x+x+4)(2)
104=2x+4
100=2x
x=50
x+4=54

The eastbound car is going 54 miles per hour.