Question

A train travels 20% faster than a car. both start from point a at the same time and reach point b, 180 km away at the same time. on the way the train takes 30 minutes for stopping at the stations. what is the speed (in km/hr) of the train? एक रेलगाड़ी एक कार से 20% तेज चलती है। दोन

Answer 1

Let the speed of the car be x.

The speed of the train will be :

1.20x

The distance to be covered is 180km

The time to be taken by each is :

Car = 180/x

Train = 180/1.2x

The train takes a stop of 30 minutes and this makes them to reach their destination at the same time.

This can be written as :

180/x = 180/1.20x + 30/60

180/x = 180/1.2x + 0.5

180 = 180/1.2 + 0.5x

180 = 150 + 0.5x

30 = 0.5x

x = 30/0.5

x = 60km/h

The speed of the train is :

1.20 × 60 = 72km/h

Answer 2

Let car travel at x km/hr and so train travel at 1.2x km/hr so time taken by train is (180/1.2x)+1/2=180/x or 150/x+1/2=180/X or 180–150/x=1/2 or x=60. So train speed is 1.2*60=72 km/hr