# 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) 127.5 m | B) 254 m |

C) 184 m | D) 212 m |

Explanation:

When A runs 1000 m, B runs 900 m and when B runs 800 m, C runs 700 m.

When B runs 900 m, distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 m.

In a race of 1000 m, A beats C by (1000 - 787.5) = 212.5 m to C.

In a race of 600 m, the number of meters by which A beats C

= (600 x 212.5)/1000 = 127.5 m.

A) 21 m | B) 26 m |

C) 28m | D) 29m |

Explanation:

A : B = 100 : 75

B : C = 100 : 96.

A : C = (A/B*B/C) = (100/75*100/96) = 100/72 =100:72

A beats C by (100 - 72) m = 28 m.

A) 8 points | B) 10 points |

C) 14points | D) 40points |

Explanation:

A : B = 100 : 80.

A : C = 100 : 72.

B:C = B/A*A/C = 80/10*100/72 = 10/9 = 100/90 = 100:90

B can give C 10 points

A) 40 sec | B) 47 sec |

C) 33 sec | D) None of these |

Explanation:

B runs 35 m in 7 sec.

B covers 200 m in (7/35*200) = 40sec

B's time over the course = 40 sec.

A's time over the course (40 - 7) sec = 33 sec.

A) 30 points | B) 20 points |

C) 10 points | D) 12 points |