The Trains!

Algebra Level 2

Two trains start simultaneously from two stations which are 300 km apart and move towards each other. The speed of one train is more than the other by 20 km/hour. If the distance between the two trains after 2 hours is 20 km. Then find the respective speed of the two trains

170km/h, 60 km / h 60 km/h, 80km/h 50 km/h, 30 km/h 190 km/h, 80 km/h

Sara Sharma by sara sharma , 18, India

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2 solutions

Satvik Pandey
Oct 21, 2014

I will try to solve it with the concept of relative velocity--

Figure Figure Let the velocity of train at A be x x and velocity of train B be x + 20 x+20

So the rate at which the separation between trains decreases is x + x + 20 x+x+20

After 2h separation between trains reduced to 20 k m 20 km

so the separation between the train is decreased by 280 k m 280 km

So 2 x + 20 = 280 2 2x+20=\frac{280}{2}

So x = 60 x=60

Si the velocity of train at A and B are 60 k m / h 60 km/h and 80 k m / h 80 km/h respectively.

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Azadali Jivani
Aug 11, 2015

Total distance covered by both the trains = 300-20 = 280
So (x+20)2 + 2X = 280
X = 60---speed of one train & 60+20 = 80--------speed of second train(Ans.)

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