# Aptitude Problem on Trains

Trains problem are depends on the concept of time, distance and speed.

### Important Formula

• Speed in km/hr

• a km /hr =
a * 5 / 18
m/s.

• Speed in m/s

• a m/s =
a * 18 / 5
km/hr.

• Time taken by a train of length L metres to pass a pole or a standing man or a signal post is equal to the time taken by the train to cover

• L Metres.

• Time taken by a train of length L metres to pass a stationary object of length b metres is the time taken by the train to cover

• (L + b) metres.

• Suppose two train or two bodies are moving in the same direction at u m/s and v m/s , where u > v, then their

• relative speed = (u - v) m/s.

• Suppose two trains or two bodies are moving in opposite directions at u m/s and v m/s , then their

• relative speed = ( u + v) m/s.

• If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then time taken by the trains to cross each other

• (a+b) / ( u+ v)
sec.

• If two train s of length a metres and b metres are moving in the same direction at u m/s and v m/s , then the time taken by the faster train to cross the slower train

• (a+b) / ( u+ v)
sec.

• If two train ( or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then

• ( A speed) : ( B speed) = ( vb : va ).

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