Question 1207762: An air rescue plane averages 300 miles per hour in still air. It carries enough fuel for 5 hours of flying time. If, upon takeoff, it encounters a head wind of 30 mi/hr, how far can it fly and return safely? (Assume that the wind remains constant.)
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! An air rescue plane averages 300 miles per hour in still air. It carries enough fuel for 5 hours of flying time. If, upon takeoff, it encounters a head wind of 30 mi/hr, how far can it fly and return safely? (Assume that the wind remains constant.)
Speed of plane in still air 300 mph
Head wind = 30 mph
Fuel available for 5 hours
It means the plane can fly a total distance of 5*300= 1500 miles (to & fro)
Tail wind when returning 30 mph
x/(300-30) + x/(300+30)= 5
x/270+x/330 =5
11x/(11*270 )+ 9x/(9*330)=5
(11x +9x)/2970 =5
20x = 14850
x = 742.50
The plane can fly 742.5 miles one way and then return safely, in the given conditions
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