Lenth of a train
I have just seen this problem in an article dedicated to Maths in a newspaper. I found it not too difficult and quite interesting. I couldn’t resist posting it in this forum. Please enjoy.
Two mates, Alexander and Michael, wait at the train station for their scheduled train. At a certain moment a merchant train entered the station without stopping. To help time goes by, Alexander and Michael decide to calculate the length of the merchant train that is passing at constant velocity. They wait until the front of the train reaches the point where they stand and then they start walking at the same velocity. Alexander walks towards the same direction of the train and Michael towards the opposite direction. Each one of them stops as the rear of the train reaches each one’s position. Alexander walked a distance of 45 meters and Michael 30 meters.
What is the length of the train?
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