SOLUTION: A consultant traveled 465 miles to attend a meeting, traveling 55 mph hours for the first part of the trip, then increasing to a speed of 60 mph for the second part. If the entire

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Question 898777: A consultant traveled 465 miles to attend a meeting, traveling 55 mph hours for the first part of the trip, then increasing to a speed of 60 mph for the second part. If the entire trip took 8 hours, how far did the consultant travel at the faster speed?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D, uniform rates for travel.

________________speed________time_______distance
First___________55___________x__________55x
Second__________50___________y__________60y
Totals_______________________8__________465

Make two linear equations in the two unknowns and solve the system.
Those two equations come from the "Totals".