SOLUTION: if plane a travels 2400 kilometers at a certain speed. plane b travels 1800 kilometers at a speed 50km/hr faster than plane a in two hours less time. find the speed of each plane
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Question 924591: if plane a travels 2400 kilometers at a certain speed. plane b travels 1800 kilometers at a speed 50km/hr faster than plane a in two hours less time. find the speed of each plane Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! if plane a travels 2400 kilometers at a certain speed. plane b travels 1800 kilometers at a speed 50km/hr faster than plane a in two hours less time. find the speed of each plane
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let x=speed of plane a
x+50=speed of plane b
travel time = distance/speed
..
lcd:x(x+50)
2400(x+50)-x(1800)=2x(x+50)
2400x+120000-1800x=2x^2+100x
120000+600x=2x^2+100x
2x^2-500x-120000=0
x^2-250x-60000=0
(x+150)(x-400)=0
x=400
x+50=450
..
speed of plane a=400 km/hr
speed of plane b=450 km/hr
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