SOLUTION: On a recent trip, a trucker traveled 525 mi at a constant rate. Because of road conditions, the trucker then reduced the speed by 30 mph. An additional 45 mi was traveled at the re

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Question 1205546: On a recent trip, a trucker traveled 525 mi at a constant rate. Because of road conditions, the trucker then reduced the speed by 30 mph. An additional 45 mi was traveled at the reduced rate. The entire trip took 8 h. Find the rate of the trucker for the first 525 mi.
mph
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
This is the information that can be arranged from the problem description; and the constant speed for the first part is unknown, x.
                                  SPEED                 TIME              DISTANCE

Constant Rate                     x                                       525

Reduced Speed                    x-30                                      45

TOTAL                                                      8

Use that to fill other information.
                                      SPEED                 TIME              DISTANCE

Constant Rate                        x                      525/x                 525

Reduced Speed                         x-30                 45/(x-30)              45

TOTAL                                                          8

Solve this equation:

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

On a recent trip, a trucker traveled mi at a constant rate.

t=d/r

Because of road conditions, the trucker then reduced the speed by mph.

An additional mi was traveled at the reduced rate.

The entire trip took h.


...multiply by






or
....disregard because speed was reduced by

so, the rate of the trucker for the first mil was


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