Time, Work and Distance

Explanation / Important formulas:

Important formulas:

  • km/hr to m/s conversion:
    a km/hr = a x 5/18 m/s.
  • m/s to km/hr conversion:
    a m/s = a x 18/5 km/hr.

Formulas for finding Speed, Time and Distance:

  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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)

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Time, Work and Distance - Test



Time, Work and Distance - Question and Answers

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