Quote: There are two trains on a 2700km train track at any time. The train coming from point A is moving towards point B at 100km a hour, and the train coming from point B to point is moving at 80km an hour. Where will these trains meet?
Let A be travelling in the positive direction.
A's velocity is 100 km/hr
B's velocity is -80 km/hr
Their relative velocity is (100-(-80)) = 180 km/hr
They have 2700 km to cover at this speed
T = D/R = 2700/180 hr = 15 hrs.
In 15 hrs train A move 15 * 100 km = 1500 km
So the two trains will meet 1500 km from point A.