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6 December, 01:17

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

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  1. 6 December, 03:00
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    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
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