SOLUTION: a train travels 200km in the same time that a plane covers 900km. If the speed of the plane is 20km per hour less than 5 times the speed of the train find both speed

Question 1119129: a train travels 200km in the same time that a plane covers 900km. If the speed of the plane is 20km per hour less than 5 times the speed of the train find both speed
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
r, speed of train
-20+5r, speed of plane

-

-------train speed, kilometers per hour
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Let x be the speed of the train in km/hr.

Then the distances traveled in equal amounts of time tell us the speed of the plane is (9/2)x.

And the statement of the problem tells us the speed of the plane is 5x-20.

We have two expressions for the speed of the plane; they must be equal. So

The speed of the train is 40km/hr; the speed of the plane is (9/2)*40 = 180km/hr.
RELATED QUESTIONS
a train travels 200km in the same time a plane covers 560km. If the speed of the train is (answered by JulietG)
A train travels 120 km in the same time that a plane covers 336 km. If the speed of the... (answered by Earlsdon,drj)
A train travels 150 kilometers in the same time that a plane covers 400 kilometers. If... (answered by RAY100)
a train travels 130 km in the same time that a plane covers 585 km. if the speed of the... (answered by ewatrrr)
if a train travels 100km in the same time that a plane covers 450 km. If the speed of the (answered by josgarithmetic)
a train travels 100km in the same time that a plane covers 450 km. if the speed of the... (answered by mananth)
27) A train travels 150 km in the same time that a plane covers 400 km. If the speed of... (answered by drj)
a train travels 150 km in the same time that a plane covers 400 km. if the speed of the... (answered by stanbon)
A train travels 150 km in the same time that a plane covers 375 km. If the speed of the... (answered by stanbon)