Question

A train travels 150 km in the same time that a plane covers 525 km. If the speed of the plane is 30 km per hr less than 4 times the speed of the​ train, find both speeds.

Answer 1

here is your answer

let the speed of train be x km/h
so the speed of the plane= (4x-30 ) km/h

let the time be y

distance= speed × time

distance traveled by the train = x × y = 150 km. -(1)
distance traveled by the plane = (4x-30)×y = 525 km. -(2)

x × y = 150 km
y = 150/x

putting this value in equation 2

(4x-30)×y = 525 km
(4x-30)×150/x = 525 km
600-4500/x = 525 km
-4500/x = 525-600 = (-75)
-4500/x = (-75)
4500/x = 75
x = 4500/75 km/h
x = 60 km/h

speed of the train = 60km/h
speed of the plane= 4x - 30 km/h
4×60-30 km/h
240-30 km/h
210 km/h

hope his helps you
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