# Basic Statements

- A gives a start of 10 m to B â†’ When B has already run 10 m, then A starts running.

â€‹

Example-1

In a race of 100 m, A gives a start of 10 m to B. Despite this, A wins the race by 20 m. What is the ratio of the speed of A and B?

Solution

Time taken by A to cover 70 m = Time taken by B to cover 100 m
Since the distance is constant, the ratio of speed of A and B = 10:7

- A gives a start of 10 seconds to B â†’ B has already run for 10 seconds, now A starts running.

Where

*v*m/s is the speed of B.Example-2

In a 100 m race, Tom runs at a speed of 1.66 m/s. If Tom gives a start of 4 m to Jerry and still beats him by 12 s, what is the speed of Jerry?

Solution

Time taken by Tom to cover 100 m = 60 s
Now, since Tom beats Jerry by 12 s, time taken by Jerry = 72 s
And the distance covered by Jerry = 96 m
So, speed = 96/72 = 1.33 m/s

Example-3

Karan and Arjun run a 100-m race where Karan beats Arjun by 10 m. To do a favour to Arjun, Karan starts 10 m behind the starting line in a second 100 m race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

- Karan and Arjun reach the finishing line simultaneously.
- Arjun beats Karan by 1 m.
- Arjun beats Karan by 11 m.
- Karan beats Arjun by 1 m.

Solution

**Situation (I)**

**Situation (II)**

** **