<PRE><B>Question 53363</B>
A bus traveled at an average rate of 50 miles per hour and then reduced its average rate to 40 miler per hour for the rest of the trip. If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate.
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50 mph DATA:
distance = x miles ; rate=50 mph; time=d/r = x/50

40 mph DATA:
distance = 220-x ; rate= 40 mph; time = d/r = (220-x)/40

EQUATION:
time + time = 5 hrs.
x/50 + (220-x)/40 = 5
Multiply thru by 200 to get:
4x + 5(220-x)= 1000
4x + 1100-5x= 1000
-x= -100
x=100 miles at 50 mph
220-100= 120 miles at 40 mph
Cheers,
Stan H.
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