word problem help

Question

Joe and Nancy decide to take a road trip. The first 84 miles of the drive is pretty​ easy, while the last 120 miles of the drive is filled with curves. They drove at an average of 8 miles per hour faster for the first 84 miles of the trip. The entire trip took 4 hours. How fast were Joe and Nancy driving for the first 84 miles of the​ trip?

Answer 1

speed time1 + ( speed - 8) time2 = 204

time1. +. time2. = 4

time2 (speed - 8) = 204 - time1 speed

time2 = (204 - time1 speed)/(speed - 8 )

time1 + (204 - time1 speed )/ (speed -8) = 4

time1 -(204 - time1 speed ) / speed - 8 ) -4 =0

I must eliminate. time1 or speed . or find an equation relating time1 and speed, can't do it.