SOLUTION: word problems Airplane A travels 1400 km at a certain speed. Plane B travels 1000 km at a speed of 50 km/h faster than A in 3 hrs less time. Find the speed of each plane.

Question 449417: word problems Airplane A travels 1400 km at a certain speed. Plane B travels 1000 km at a speed of 50 km/h faster than A in 3 hrs less time. Find the speed of each plane.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
1400/x=1000/(x+50)+3
1400(x+50)=1000x+3x2+150x
1400x+70000=3x2+1150x
3x2-250x-70000=0
(3x+350)(x-200)=0
x=200 or -350/3
Throwing out the negative answer, we get the speed of plane A to be 200kph, and the speed of plane B to be 250kph..
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