SOLUTION: A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane

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Question 705654: A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
Answer by lwsshak3(11628) About Me  (Show Source):
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A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?
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let x=speed of propeller plane
x+125=speed of jet plane
travel time=distance/speed
..
5850/x-5850/(x+125)=5
LCD:x(x+125)
5850(x+125)-5850x=5x(x+125)
5850x+731250-5850x=5x^2+625x
5x^2+625x-731250=0
x^2+125x-146250=0
(x-325)(x+450)=0
x=-450 (reject, x>0)
x=325
x+125=450
speed of propeller plane=325 mph
speed of jet plane=450 mph