IMPORTANT FACTS AND FORMULAE

  • Speed = Distance / Time
  • Time = Distance / Speed
  • Distance = Speed x Time
  • X km/hr = X x (5/18) m/s
  • X m/s = X x (18/5) km/hr
  • If the ratio of the speeds of A and B is a : b, then the ratio of the times taken by them to cover the same distance is 1/𝑎:1/𝑏 or b : a
  • Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then, the average speed during the whole journey is (2𝑥𝑦/(𝑥+𝑦)) km/hr
  • Suppose two trains are moving in the same direction at x m/s and y m/s respectively, where x > y, then their relative speed = (x – y) m/s
  • Suppose two trains are moving in the opposite directions at x m/s and y m/s respectively, then their relative speed = (x + y) m/s
  • If two persons A and B start at the same time in opposite directions from two points and after passing each other they complete the journeys in a and b hours respectively, then
    A’s speed : B’s speed = √𝑏:√𝑎

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