SOLUTION: A round trip in a helicopter lasted 4 and 1/2 hours. If it flew away from the airport at 100 mph and back at 50 mph, what was the greatest distance from the airport?

Question 308454: A round trip in a helicopter lasted 4 and 1/2 hours. If it flew away from the airport at 100 mph and back at 50 mph, what was the greatest distance from the airport?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A round trip in a helicopter lasted 4 and 1/2 hours.
If it flew away from the airport at 100 mph and back at 50 mph, what was the
greatest distance from the airport?
:
Let d = one way distance
:
Write a time equation tim = dist/speed;
:
out time + back time = 4.5 hrs
+ = 4.5
multiply by 100, results:
d + 2d = 4.5(100)
3d = 450
d =
d = 150 mi was the greatest distance
;
:
Check solution, find the time each way
150/50 = 3 hrs
150/100 = 1.5 hrs
--------------------
total: 4.5 hrs

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