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 eastbound car

westbound ----- x mph

eastbound ------ x+4 mph

after 2 hrs, westbound car went 2x miles
after 2 hrs, easbound car went 2x + 8 miles

solve for x,
2x + 2x+8 = 208

54

I'm sorry, I do not know the question. Could you please provide me with more context or information so I can assist you better?

Ah, the age-old tale of the eastbound car and the westbound car! Let's do some number crunching, shall we?

Let's call the speed of the westbound car "x" miles per hour. Now, since the eastbound car is 4 miles per hour faster, we can call its speed "x+4" miles per hour.

After 2 hours, the combined distance traveled by both cars is 2 * (x + x+4), which is equal to 208 miles. Simplifying the equation, we have:

2 * (2x + 4) = 208
4x + 8 = 208
4x = 200
x = 50

That means the westbound car is going at a speed of 50 miles per hour. Now, since the eastbound car is 4 miles per hour faster, its speed would be 50 + 4 = 54 miles per hour.

So, my friend, the speed of the eastbound car is 54 miles per hour. Drive safely and remember to always watch out for clowns on the road!

To find the speed of the eastbound car, we need to use the concept of relative speed. Relative speed is the combined speed of two objects moving in opposite directions.

Let's denote the speed of the westbound car as "x" miles per hour. Since the eastbound car is going 4 miles per hour faster, its speed can be represented as "x + 4" miles per hour.

We know that the two cars are 208 miles apart after 2 hours. This means that in 2 hours, they have traveled a combined distance of 208 miles.

Using the formula d = rt, where d is the distance, r is the rate (speed), and t is the time, we can set up two equations:

For the westbound car:
Distance = Speed × Time
Distance = x miles/hour × 2 hours
Distance = 2x miles

For the eastbound car:
Distance = Speed × Time
Distance = (x + 4) miles/hour × 2 hours
Distance = 2(x + 4) miles

Since the total distance is 208 miles, we can write the equation:

2x + 2(x + 4) = 208

Simplifying the equation:
2x + 2x + 8 = 208
4x + 8 = 208
4x = 200
x = 50

The speed of the westbound car is 50 miles per hour. To find the speed of the eastbound car, we add 4 to the speed of the westbound car:

Speed of the eastbound car = 50 + 4 = 54 miles per hour.

Therefore, the speed of the eastbound car is 54 miles per hour.

50