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Quantitative Aptitude :: Problems on Trains Formulas

Problems on Trains Questions and Answers

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1. km/hr to m/s conversion:
   a km/hr = [a x (5/18)] m/s.

2. m/s to km/hr conversion:
   a m/s =    [a x (18/5)] km/hr.

3. Formulas for finding Speed, Time and Distance

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

5. Time taken by a train of length l metres to pass a stationery object of length b metres is the time taken by the train to 
    cover (l + b) metres.

6. 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.

7. 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.

8. If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then:
   The time taken by the trains to cross each other =    (a + b)/(u + v)  sec.

9. If two trains 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.

10. 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:
      (A's speed) : (B's speed) = (√b : √a)