SOLUTION: A plane traveling at 450 mph can go 1000 miles with the wind in 1/2 hour less than than against the wind

SOLUTION: A plane traveling at 450 mph can go 1000 miles with the wind in 1/2 hour less than than against the wind - find wind speed?

Question 444837: A plane traveling at 450 mph can go 1000 miles with the wind in 1/2 hour less than than against the wind - find wind speed?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
1000/(450+w)+1/2=1000/(450-w)
2000/(450+w)+1=2000/(450-w)
2000(450-w)+202500-w2=2000(450+w)
900000-2000w-w2+202500=900000+2000w
w2+4000w-202500=0
(w+4050)(w-50)=0
w=50 or -4050
Throwing out the negative answer, we get the speed of the wind to be 50 mph..
RELATED QUESTIONS
a plane traveling 450 miles per hour can go 1000 miles with the wind in 1/2 hour less... (answered by ankor@dixie-net.com)

A plane travels 450 mph for 1000 miles with the wind in 30 minutes less time than against (answered by lmeeks54)

A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles... (answered by Alan3354)

Flying against the wind, it took a pilot 1/2 hour longer to travel 500 miles than it took (answered by josmiceli)

1- a six passanger plane cruises at 180 mph in calm air. If the plane flies 7 miles with... (answered by Nate,ankor@dixie-net.com)

the rate of a plane in calm air is 140 mph. flying with the wind, the plane can fly 450... (answered by jorel1380)

an airplane can travel at 1000 miles with the wind in the same time it could travel with... (answered by lwsshak3)

If a plane can travel 480 miles per hour with the wind and 440 mph against the wind, find (answered by Alan3354)

A plane can fly 36 miles with the wind, in the same amount of time that it can fly 12... (answered by askmemath)