# Race

- When 2 or more people compete to reach a certain point, they are said to be participating in a race.
- Start : If one person gives a start to another person, it means that the second person has to run less than the first person. For example, if A gives a start of 40 m to B in 100 m race, it means that A will run for 100 m but B will run for 100 – 40 = 60 m.

### Sample Problems

**Question 1 : **In a 100 m race, A beats B by 28 metres. Also, at the finish line, A was 7 seconds ahead of B. Find the time taken by A to complete the race.

**Solution : **According to the question, B covers 28 m in 7 seconds.

=> B’s speed = 28 / 7 = 4 m/s

=> Time required by B to complete 100 m = 100 / 4 = 25 s

Now, A needs 7 s less than B to complete the race.

=> Time required by A = 25 – 7 = 18 s

**Question 2 : **In a 100 m race, A can give a start of 4 m to B and 6.4 m to C. How much start can B give to C ?

**Solution : **If A covers 100 m, B covers 96 m and C covers 93.6 m

=> When B covers 96 m, C covers 93.6 m

=> When B covers 100 m, C covers (93.6 / 96) x 100 = 97.5 m

Therefore, B can give a start of 100 – 97.5 = 2.5 m to C.

This article has been contributed by **Nishant Arora**

Please write comments if you have any doubts related to the topic discussed above, or if you are facing difficulty in any question or if you would like to discuss a question other than those mentioned above.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above

GeeksforGeeks has prepared a complete interview preparation course with premium videos, theory, practice problems, TA support and many more features. Please refer Placement 100 for details

## Recommended Posts:

- C program to reverse the content of the file and print it
- Create a Circular List Structure For Given Value K Using Recursion
- Program to find the Nth natural number with exactly two bits set
- Puzzle | How much he had initially?
- Puzzle | King Octopus and Servants
- Age of AI-based recruitment... What to expect?
- Placement 100 Course Walk-Through
- AMCAT Mock Paper | Verbal Aptitude 2
- AMCAT Mock Paper | Quantitative Aptitude 4
- AMCAT Mock Paper | Quantitative Aptitude 5
- AMCAT Mock Paper | Verbal Aptitude 1
- AMCAT Mock Paper | Verbal Aptitude 5
- AMCAT Mock Paper | Quantitative Aptitude 1
- AMCAT Mock Paper | Logical Aptitude 5