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

Answer

given,

time of travel = 2 hours

distance between the two car = 208 miles

one car traveled 8 miles per hour faster than other.

speed of both the car =?

Let speed of one car = x

speed of the second car = x + 8

distance = speed x time

distance = 2 x(1)

distance = 2(x+8)(2)

total distance = 208 miles

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

2 x + 8 = 104

2x = 96

x = 48 mile/h (1st car)

x + 8  = 56 mile/hr(2nd car)

hence, speed of both the vehicle is given above.