SOLUTION: The rate of a small aircraft in calm air is 125mph if the wind is currently blowing south at a rate of 10mph how far north can a pilot fly the plane and return it with 2hrs?

Question 814874: The rate of a small aircraft in calm air is 125mph if the wind is currently blowing south at a rate of 10mph how far north can a pilot fly the plane and return it with 2hrs?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The rate of a small aircraft in calm air is 125mph if the wind is currently blowing south at a rate of 10mph how far north can a pilot fly the plane and return it with 2hrs?
:
let d = one way dist to return in 2hrs
:
Write a time equation, time = dist/speed
:
time up + time back = 2hrs
+ = 2
:
+ = 2
multiply by
115*135, resulting in
135d + 115d = (135)(115)*2
250d = 31050
d = 31050/250
d = 124.2 mi north
:
:
Confirm this by finding the time each way
124.2/115 = 1.08 hrs
124.2/135 = .92
--------------------
total time: 2 hrs
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