Question

The speed of the train is 10 kilometre per hour less than the speed of a car .What is the speed of the train ,if the speed of the car is 'y' kilometre per hour​

Answer 1

Answer:

Let:

The speed of the train be x km/hr, the time required for the journey be t hrs, and the distance be d km.

So, we have, in the first case, d = x * t …….(1)

In the second case, if the train is 10 km/hr faster, the speed would be (x+10) km/hr, and the time required would be (t-2) hrs. Thus we have, as the distance would be the same: d = (x+10)*(t-2)

Expanding, we have d = xt - 2x + 10t - 20. Substituting from equation (1), we get the simplified equation: 10t - 2x = 20 …….(2)

In the third case, if the train is 10 km/hr slower, the speed would be (x-10) km/hr, and the time required would be (t+3) hrs. Thus we have, as the distance would be the same: d = (x-10)*(t+3)

Expanding, we have d = xt + 3x - 10t - 30. Substituting from equation (1), we get the simplified equation: 10t - 3x = -30 …….(3)

Solving equations (2) and (3) simultaneously, we get x = 50 km/hr and t = 12 hrs.

Thus, distance d = x * t, that is d = 50 * 12 = 600km

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