Question

Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster the the other car, what was the average speed for each car for the 2-hour trip?

Answer 1

Answer with Step-by-step explanation:

Let speed of one car=x miles/h

Speed of second car=x+8 mi/h

Time,t=2 hours

Distance between two cars=208 miles

We have to find the average speed for each car for 2-hour trip.

Distance=$Speed\times time$

Distance traveled by one car=2x

Distance traveled by second car=2(x+8)

According to question

$2x+2(x+8)=208$

$2x+2x+16=208$

$4x=208-16$

$4x=192$

$x=\frac{192}{4}=48$

Speed of one car=48mph

Speed of second car=48+8=56mph