SOLUTION: a train travels 100km in the same time that a plane covers 450 km. if the speed of the plane is 30km per hr less than 5 times the speed of the train , find both speeds..

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Question 547041: a train travels 100km in the same time that a plane covers 450 km. if the speed of the plane is 30km per hr less than 5 times the speed of the train , find both speeds..
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
train speed =x
distance =180
plane speed = 5x-30
distance = 450
t=d/r
100/x = 450/(5x-30)
time for both is same

cross multiply
100(5x-30)=450x
500x-3000=450x
500x-450x=3000
50x=3000
/50
x=60 mph speed of car
speed of plane = 5x-30
=5*60-30
=300-30
=270 mph speed of plane