Question 547641
A plane flying the 3458 mile trip from New York City to London has a 50mph tailwind.
 The flight's point of no return is the point at which the flight time required to return to New York City is the same as the time required to reach London. 
If the speed of the plane in still air is 360 mph, how far is New York City from the point of no return?
:
Effective speed to London: 360+50 = 410 mph
Effective speed to return to New York: 360-50 = 310 mph
:
Let d = distance from N.Y.C to point of no return
then
(3458-d) = distance from London to point of no return
:
Write a time equation, time = dist/speed
:
To London time = Return to N.Y. time
{{{((3458-d))/410}}} = {{{d/310}}}
Cross multiply to find d