SOLUTION: An ultra light aircraft flies to a nearby town that is 20 miles away in 2/5 hour with a tail wind. It can fly back home again when fighting a head wind in 1/2 hour. Find the air s

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Question 250181: An ultra light aircraft flies to a nearby town that is 20 miles away in 2/5 hour with a tail wind. It can fly back home again when fighting a head wind in 1/2 hour. Find the air speed of the ultra light aircraft and the wind speed.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT OR R=D/T
R=25/.4=62.5 MPH WITH A TAIL WIND.
R=25/.5=50 MPH AGAINST THE WIND.
(62.5-50)/2=12.5/2=6.25 IS THE SPEED OF THE WIND.
PROOF:
62.5-6.25=56.25 MPH FOR THE PLANE.
50+6.25=56.25 DITTO.