Question

An eastbound car is going 4 miles per hour faster than an 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 ?

Answer 1

speed of westbound car= 50 miles/hour

speed of eastbound car = 50 + 4 = 54 miles/hour

Explanation:

Let the speed of westbound car = x

According to given scenario, speed of eastbound car will be = x + 4

Now

Distance given = 208 miles

Total time = 2 hours

As both cars pass each other so by using the formula beloe:

Speed of both cars = Distance / Time

x + (x + 4) = 208 / 2

2x +4 = 104

Subtracting 4 from both sides

2x = 104 - 4

2x = 100

Dividing both sides by 2

x (speed of westbound car)= 50 miles/hour

x + 4 (speed of eastbound car) = 50 + 4 = 54 miles/hour

i hope it will help you!