Paige was on a long 238 mile road trip. The first part of the trip there was lots of traffic, she only averaged 19 mph. The second part of the trip there was no traffic so she could drive 54 mph. If the trip took her 7 hours, how long did she travel at each speed?

In traffic she drove for hours

After the traffic cleared she drove for hours.

Solution:

She travels x in the first part and (238-x) in the second part

So

x/19 +(238-x)/54 = 7

So

x = 76

So

She travels 76 miles in the first part and 162 miles in the second part