A train travels 200 km in the same time that a plane covers 900 km. If the speed of the plane is 20 km per hr less than 5 times the speed of the train, find both speeds. r t d Train x 200 Plane y 900

Answer: the speed of the train is 40 km/h

the speed of the plane is 180 km/h

Step-by-step explanation:

Let x represent the speed of the train.

If the speed of the plane is 20 km per hr less than 5 times the speed of the train, it means that the speed of the plane would be (5x - 20) km/h

Time = distance/speed

The train travels 200 km. This means that the time taken to travel 200 km is

200/x

in the same time that a plane covers 900 km. This means that the time taken to travel 900 km is

900 / (5x - 20)

Since the time is the same, then

200/x = 900 / (5x - 20)

Cross multiplying, it becomes

200 (5x - 20) = 900x

1000x - 4000 = 900x

1000x - 900x = 4000

100x = 4000

x = 4000/100

x = 40

The speed of the plane would be

5 * 40 - 20

= 180