SOLUTION: A commuter plane flies to a small town from a major airport. The average speed flying to the small town was 250mph and the average speed returning was 150mph. The total flying ti

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Question 94120: A commuter plane flies to a small town from a major airport. The average speed flying to the small town was 250mph and the average speed returning was 150mph. The total flying time was 4hrs. Find the distance between the two airports.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A commuter plane flies to a small town from a major airport. The average speed flying to the small town was 250 mph and the average speed returning was 150 mph. The total flying time was 4 hrs. Find the distance between the two airports.
:
Let d = distance between the two airports
:
Write a time equation: Time = dist/speed
:
d%2F250 + d%2F150 = 4
:
Multiply equation by 750 to get rid of the denominators:
3d + 5d = 4(750)
8d = 3000
d = 3000/8
d = 375 miles
;
Check our solution:
375/250 + 375/150 =
1.5 + 2.5 = 4