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 sp

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Question 213770This question is from textbook Structure and Method Book 1
: 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. Check your answer This question is from textbook Structure and Method Book 1

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
20=R*.4
20=.4R
R=20/.4
R=50 MPH. WITH THE WIND.
20R=R*.5
.5R=20
R=20/.5
R=40 MPH. AGAINST THE WIND.
(50-40)/2=10/2=5 MPH IS THE SPEED OF THE WIND.
PROOF:
50-5=45 MPH SPEED OF THE ULTRA LIGHT.
40+5=45 MPH DITTO.