Important Formulas - Problems on Trains - Quantitative Aptitude

1.  km/hr to m/s conversion:
   
2. m/s to km/hr conversion:
   
3. Time taken by a train of length x metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover x metres.
4. Time taken by a train of length x metres to pass a stationery object of length b metres is the time taken by the train to cover (x + b) metres.
5. Suppose two trains or two objects bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relative speed is = (u - v) m/s.
6. Suppose two trains or two objects bodies are moving in opposite directions at u m/s and v m/s, then their relative speed is = (u + v) m/s.
7. Assume two trains of length x metres and y metres are moving in opposite directions at a m/s and b m/s, Then
   The time taken by the trains to cross each other = (x+y) / (a+b) seconds
8.  Assume two trains of length x metres and y metres are moving in the same direction at at a m/s and b m/s where a > b, Then
   The time taken by the faster train to cross the slower train = (x+y) / (a-b) seconds.
9. If two trains (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:
10.  Speed = distance/time
11. velocity = displacement/time
    
    
    
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