SOLUTION: Melanie�s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the m

Question 1110941: Melanie�s family drove for 5 hours on the main highway and 3 hours on a smaller highway, and traveled a total of 456 miles. Their average speed was 8 miles per hour faster on the main highway than on the smaller highway. What was their average speed on the smaller highway?

Answer by ikleyn(52772) (Show Source): You can put this solution on YOUR website!
.

Let r be the rate of moving at the slower highway, in mph

Then the rate on the faster highway is (r+8) mph.


The total distance traveled equation is

5*(r+8) + 3r = 456   miles.

5r + 40 + 3r = 456

8r = 456 - 40 = 416

r =  = 52.


Answer.  52 mph at the slower highway and 52+8 = 60 mph at the faster highway.

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