Time Speed Distance

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Basic formulas - Time Speed and Distance

1) Distance = Speed × Time

2) Converting Km/hr to m/sec


3) Converting m/sec to Km/hr


4) If ratio of speeds is a:b then the ratio of distance covered in the same time is a:b.

5) If ratio of speeds is a:b then the ratio of time taken to cover the same distance is b:a.

6) If half of the distance is covered at a speed of a Km/hr and the other half at a speed of b Km/hr then the average speed for the entire journey is Km/hr. (Shortcut 1)

7) If an object travels for half of the time at a speed of a Km/hr and the other half of the time at a speed of b Km/hr then the average speed for the entire journey is Km/hr. (Shortcut 2)

Read More: Problems on Trains

Download: Practice Questions on the Concept of Trains

Concept of TRAINS

8) Time taken by a train of length L meters, travelling at a speed of S m/sec to cross a pole/a standing man is

9) Time taken by a train of length L meters, travelling at a speed of S m/sec to cross a platform or a standing train or a bridge of length x meters is

10) Time taken by a train of length L1 meters, travelling at a speed of S1 m/sec to cross another train of length L2 meters, travelling at a speed of S2 m/sec in the same direction is

11) Time taken by a train of length L1 meters, travelling at a speed of S1 m/sec to cross another train of length L2 meters, travelling at a speed of S2 m/sec in the opposite direction is

Concept of STREAMS

Let S be the speed of the stream and B be the speed of the boat in still water.

12) Upstream means against the stream (Moving in the direction opposite to the stream). Speed upstream = B - S

13) Downstream means with the stream (Moving in the direction of the stream). Speed downstream = B + S

Read More: Boats and Streams (Concept with Example)

Download: Practice Questions on Boats and Streams

Concept of RACES

12) Starting Point: Point from where the race starts is known as the starting point.

14) Dead Heat: If all the persons contesting a race reach the finish point exactly at the same time, the race is said to be a dead heat.

15) Suppose two persons A and B are contesting a race. If before the start of the race, A is at the starting point and B is ahead of A by x metres, then we say that 'A gives B, a start of x metres'.
Example: If A gives B a start of 10 meters, then it means that A covers 100 metres whereas B covers (100 - 10) = 90 metres in the same time.

16) Games: A game of 100, means that the person who scores 100 points first is the winner.
Example: If A scores 100 points while B scores only 88 points, then we say that 'A can give B 12 points'.
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