SOLUTION: Jerry drove to the airport at an average speed of 45 miles per hour. He returned home along the same route, but traffic slowed his average speed on the return trip to 30 miles per

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Question 1040220: Jerry drove to the airport at an average speed of 45 miles per hour. He returned home along the same route, but traffic slowed his average speed on the return trip to 30 miles per hour. If the total travel time was 2 hours 30 minutes, find in miles the distance from Jerry's house to the airport.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Jerry drove to the airport at an average speed of 45 miles per hour.
He returned home along the same route, but traffic slowed his average speed on the return trip to 30 miles per hour.
If the total travel time was 2 hours 30 minutes, find in miles the distance from Jerry's house to the airport.
:
let d = the distance to the airport
:
Write a time equation; time = dist/speed
time there + time back = 2.5 hrs
d%2F45 + d%2F30 = 2.5
multiply by 90, cancel the denominators and you have
2d + 3d = 90(2.5)
5d = 225
d = 45 miles to the airport
:
;
Confirm this find the actual time each way
45/45 = 1.0 hrs
45/30 = 1.5 hrs
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total time: 2.5 hrs