SOLUTION: A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight against the wind takes a half hour longer. What is the wind speed (rounded to the nearest mile p

Question 329981: A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight against the wind takes a half hour longer. What is the wind speed (rounded to the nearest mile per hour)?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
D=RT
785=R*2.5
R=785/2.5
R=314 MPH. FOR THE FLIGHT WITH THE WIND.
785=R*3
R=785/3
R=262 MPH. FOR THE FLIGHT AGAINST THE WIND.
(314-262)/2=52/2=26 MPH. IS THE SPEED OF THE WIND.
PROOF:
314-26=288 MPH. IS THE SPEED OF THE PLANE IN STILL AIR.
262+26=288 DITTO.
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