<PRE><B>Question 65579</B>
DISTANCE=RATE*TIME
360=R(T+2)
270=RT SOLVING FOR R IN THIS EQUATION WE GET
R=270/T  NOW SUBSTITUTING (270/T) FOR R IN THE FIRST EQUATION WE GET
360=(270/T)(T+2)
360=(270T+540)/T
360T=270T+540
360T-270T=540
90T=540
T=540/90
T=6 HOURS IS THE TIME FOR THE RETURN 270 MILE TRIP.
6+2=8 HOURS FOR THE FIRST TRIP WHICH TOOK 2 HOURS LONGER.
THE RATE IS 
270/6=45 MPH
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MERRY CHRISTMAS
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