SOLUTION: if a plane that averages 300 miles per hour has 5 hours worth or fuel and encounters a tail wind of 30 miles per hour, how far can the plane safely fly and return

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Question 788288: if a plane that averages 300 miles per hour has 5 hours worth or fuel and encounters a tail wind of 30 miles per hour, how far can the plane safely fly and return
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if a plane that averages 300 miles per hour has 5 hours worth or fuel and encounters a tail wind of 30 miles per hour, how far can the plane safely fly and return
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If you mean its airspeed is 300, and it's flying outbound with a tailwind, its outbound groundspeed = 300 + 30, and inbound is 300 - 30 mi/hr
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Its average speed for the roundtrip (regardless of distance) is
2*330*270/(330+270) = 297 mi/hr
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RT distance = 297*5 = 1485 miles
--> 742.5 miles each way