Time and Distance Introduction

Time and Distance
  1. $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} $
  2. To convert Kilometer per hour (km/hr) to Meter per second (m/s)
    $ \\ \text{a} \text{ km/hr} = \left({\text{a} \times \dfrac{5}{18}}\right) \text{m/sec} $
  3. To convert Meter per second (m/s) to Kilometer per hour (km/hr)
    $ \\ \text{a} ~~\text{m/sec} = \left({\text{a} \times \dfrac{18}{5}}\right) \text{km/hr}$
  4. 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
  5. Suppose a man covers a certain distance at a km/hr and an equal distance at b km/hr. Then the average speed during the whole journey is $ \left(\dfrac{2\text{ab}}{\text{a}+\text{b}}\right)$ km/hr.