SOLUTION: A plane took 1 hour and 20 minutes to go 600 miles when flying with the jet stream and 2 hours 40 minutes to fly the same distance against it. find the planes rate in calm air and

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A plane took 1 hour and 20 minutes to go 600 miles when flying with the jet stream and 2 hours 40 minutes to fly the same distance against it. find the planes rate in calm air and      Log On


   

Question 188938: A plane took 1 hour and 20 minutes to go 600 miles when flying with the jet stream and 2 hours 40 minutes to fly the same distance against it. find the planes rate in calm air and the rate of the jet stream
answer: the plane flies 337.5 miles per hour in calm air. The rate of the Jet stream is 112.5 miles per hour
need a full break down of how my text book got this answer
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT OR R=D/T
R=600/(1 1/3)=600/(4/3)=600*3/4=1800/4=450 MPH WITH THE JET STREAM.
R=600/(2 2/3)=600/(8/3)=600*3/8=1800/8=225 MPH AGAINST THE JET STREAM.
(450-225)/2=225/2=112.5 IS THE SPEED OF THE JET STREAM.
450-112.5=337.5 SPEED OF THE JET.
225+112.5=337.5 DITTO.