# Races and Games Questions

**FACTS AND FORMULAE FOR RACES AND GAMES QUESTIONS**

**1. Races : **A contest of speed in running, riding, driving, sailing or rowing is called a race.

**Race Course : **The ground or path on which contents are made is called a race course.

**Starting Point : **The point from which a race beigns is known as a starting point.

**Winning Point or Goal : **The point set to bound a race is called a winning point or a Goal.

**Winner : **The person who first reaches the winning point is called a winner.

**Dead Heat Race : **If all the persons contesting a race reach the goal exactly at the same time, then the race is said to be a dead heat race.

**Start : **Suppose A and B are two contestants in a race. If before the start of the race, A is at the starting point and B is ahead of A by 12 metres, then we say that 'A gives B, a start of 12 metres'.

To cover, a race of 100 metres in this case, A will have to cover 100 metres while B will have to cover only (100 - 12) = 88 metres.

In a 100m race, 'A can give B 12m' or 'A can give B a start of 12m' or 'A beats B by 12m' means that while A runs 100m, B runs (100-12)=88m

**2. Games : **A game of 100, means that the person among the contestants who scores 100 points first is the winner?

If A scores 100 points while B scores only 80 points, then we say that 'A can give B 20 points'.

A) 18 m | B) 20 m |

C) 27m | D) 9 m |

Explanation:

A : B = 100 : 90.

A : C = 100 : 72.

B:C = B/A*A/C = 90/100*100/72 = 90/72

When B runs 90 m, C runs 72 m.

When B runs 100 m, C runs (72/90*100)m = 80m

B can give C 20 m.