**Tricks and Tips to solve Time, Speed and Distance problems**

Here, we shall acquaint you with different concepts in many topics as relative speed, average speed, time and distance

**Relation between Distance, Time and Speed **

Distance covered, time and speed are related by

- Speed = Distance / Time
- Time = Distance / Speed
- Distance = Speed X Time

Distance is measured in metres, kilometers or miles

Time in hours, minutes or seconds and speed in Km/h (kmph), m/h (mph), or m/s (mps)

- To convert speed of an object from km/h to m/s, multiply the speed by 5/18
- To convert speed of an object from m/s to km/h, multiply the speed by 18/5

**SHORTCUTS:**

**Case I: To find out Average speed**

If some distance is travelled at ‘x’ km/h and the same distance is travelled at ‘y’ km/h. Then, the average speed during the whole journey

Average Speed = 2xy / x+y km/h

**Case II: To find One-way distance**

If a person travels a certain distance at ‘x’ km/h and returns at ‘y’ km/h and the time taken to the whole journey is ‘T’ hours then the one way distance is:

One way distance = T (xy / x+y) km/h

**Case III: To find out ‘Speed’ of different persons:**

If two persons A and B start their journey at the same time from 2 points P and Q towards each other & after crossing each other they take ‘a’ and ‘b’ hours in reaching ‘P’ and ‘Q’ respectively

A’s speed / B’s speed = underroot ‘b’/underroot ‘a’

**Case IV: To find out the ‘Distance’**

If the same distance is covered at 2 different speeds S1 and S2 and the time taken to cover the distance are T1 and T2 , then the distance is given by

Distance = (S1 S2 / S1 -S2) * (T1 -T2)