SOLUTION: A bus traveled at an average rate of 50 mph and then reduced its rate to 40 mph for the rest of thetrip. If the 220-mile trip took 5 hours, determine how long the bus traveled at

Question 336686: A bus traveled at an average rate of 50 mph and then reduced its rate to 40 mph for the rest of thetrip. If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A bus traveled at an average rate of 50 mph and then reduced its rate to 40 mph for the rest of the trip.
If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate.
;
Let t = time at 50 mph rate
then
(5-t) = time at 40 mph rate
:
Write a distance equation: dist = speed * time
:
50 mph dist + 40 mph dist = 220 mi
50t + 40(5-t) = 220
50t + 200 - 40t = 220
50t - 40t = 220 - 200
10t = 20
t = 2 hrs at 50 mph
then
5 - 2 = 3 hrs at 40 mph
;
:
Check solution by finding the distances
50(2) = 100
40(3) = 120
--------------
total: 220
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