# IMO- Mathematics Olympiad Class 10: Questions 568 - 571 of 889

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## Question number: 568

### Question

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 26 minutes 18 seconds | |

b. | 42 minutes 36 seconds | |

c. | 46 minutes 12 seconds | |

d. | 45 minutes |

## Question number: 569

### Question

P, Q and R start at the same time in the same direction to run around a circular stadium. P completes a round in 200 seconds, Q in 100 seconds and R in 300 seconds, all starting at the same point. After what time will they meet again at the starting point?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 30 minutes | |

b. | 10 minutes | |

c. | 16 minutes | |

d. | 20 minutes |

## Question number: 570

### Question

Walking at three-fourths of his usual speed a man covers a certain distance in two hours than the time he takes to cover the distance at his usual speed. The time taken by him to cover the distance with his usual speed is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 4.5 hours | |

b. | 6 hours | |

c. | 5.5 hours | |

d. | 5 hours |

## Question number: 571

### Question

The ratio between the ages of Dipti and Cristal at present is . Three years hence the ratio of their ages will be . What is the present age of Cristal?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 28 years | |

b. | 27 years | |

c. | 24 years | |

d. | 26 years |