Speed: Speed of an object is distance covered by it in unit time. We can write it as follows:

Speed can be expressed in any of the following units… it could be Kilometers / Hour, Meters / Seconds, Feet / Seconds, Miles / Hours etc.

Speed can be classified into two types:

Uniform Speed and Variable Speed: If the object covers equal distance in equal intervals of time, then it is said to be travelling with uniform speed. If not, it’s speed is said to be variable.

Average Speed: It is calculated by using the following formula:

Relative Speed: The speed of one object with respect to the speed of another object is called relative speed.

Rules of finding the Relative Speed

If the two objects are moving in the same direction at a speed say km/hr and km/hr, then their relative speed km/hr, where

If two objects move in opposite directions at speeds of km/hr and km/hr respectively, then their relative speed is km/hr

Problems on Trains

Time taken by a train meters long in passing a signal pole or a point or a man standing = Time taken by the train to cover meters

Time taken by a train meters long in passing an object meters long= Time taken by the train to cover meters

Time taken by a train meters long travelling at km/hr to pass a man travelling at km/hr in the same direction = Time taken by the train to cover a meters at km/hr.

Time taken by a train a meters long travelling at km/hr to pass a man travelling at km/hr in the opposite direction = Time taken by the train to cover a meters at km/hr.

Time taken by a faster train of length meters travelling at km/hr to over take a train of length b meters traveling at a speed of km/hr in the same direction = Time taken by the train to cover meters at km/hr.

Time taken by a faster train of length meters travelling at km/hr to over take a train of length b meters traveling at a speed of km/hr in the opposite direction = Time taken by the train to cover meters at km/hr.

Problems on Boats and Streams

If the speed of the boat is m/s in still water and the speed of the stream is m/s, then:

Speed of the boat downstream m/s

Speed of boat upstream m/s

If the speed of the boat down stream is m/s and upstream is m/s, then

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