# Aptitude - Races and Games

Exercise : Races and Games - General Questions

- Races and Games - Formulas
- Races and Games - General Questions

11.

In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:

Answer: Option

Explanation:

B runs | 45 | m in 6 sec. |

2 |

B covers 300 m in | 6 x | 2 | x 300 | sec | = 80 sec. | |

45 |

12.

A runs 1 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

Answer: Option

Explanation:

Ratio of the speeds of A and B = | 5 | : 1 = 5 : 3. |

3 |

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of | 5 | x 80 | m | = 200 m. | |

2 |

Winning post is 200 m away from the starting point.

13.

In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

Answer: Option

Explanation:

A : B = 100 : 75

B : C = 100 : 96.

A : C = | A | x | B | = | 100 | x | 100 | = | 100 | = 100 : 72. | ||||

B | C | 75 | 96 | 72 |

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

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