SOLUTION: On a recent trip, a trucker traveled 225 mi at a constant rate. Because of road conditions, the trucker then reduced the speed by 40 mph. An additional 35 mi was traveled at the re

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Question 857534: On a recent trip, a trucker traveled 225 mi at a constant rate. Because of road conditions, the trucker then reduced the speed by 40 mph. An additional 35 mi was traveled at the reduced rate. The entire trip took 4 h. Find the rate of the trucker for the first 225 mi.
Answer by lwsshak3(11628) About Me  (Show Source):
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On a recent trip, a trucker traveled 225 mi at a constant rate. Because of road conditions, the trucker then reduced the speed by 40 mph. An additional 35 mi was traveled at the reduced rate. The entire trip took 4 h. Find the rate of the trucker for the first 225 mi.
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let x=rate of the trucker for the first 225 mi
travel time=distance/rate
..
225%2Fx%2B35%2F40=4
LCD:40x
40*225+35x=40x*4
9000+35x=160x
125x=9000
x=72
rate of the trucker for the first 225 mi=72 mph