Home
Class 14
MATHS
A and B run a kilometre and A wins by 25...

A and B run a kilometre and A wins by 25 sec. A and C run a kilometre and A wins by 275m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometre is

A

2min 25 sec

B

2min 50sec

C

3min 20sec

D

3min 30 sec

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to analyze the information given about the races between A, B, and C. ### Step 1: Define Variables Let: - \( T \) = time taken by A to run 1 km (in seconds) - \( T_B \) = time taken by B to run 1 km - \( T_C \) = time taken by C to run 1 km
Promotional Banner

Topper's Solved these Questions

  • TIME AND DISTANCE

    KIRAN PUBLICATION|Exercise Type -X|10 Videos
  • STATISTICS AND DATA INTERPRETATION

    KIRAN PUBLICATION|Exercise TYPE-VIII|8 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

A race course is 400 metres long. A and B run a race and A wins by 5 metres. B and C run over the same course and B wins by 4 metres. C and D run over it and D wins by 16 metres. If A and D run over it, then who would win and by how much ?

A train runs 200 kilometres in 5 hours.How many kilometres does it run in 7 hours?

KIRAN PUBLICATION-TIME AND DISTANCE-Type -XI
  1. A walks at a uniform rate of 4 km an hour and 4 hours after his start,...

    Text Solution

    |

  2. A car completes a journery in 10 hours. If it covers half of the journ...

    Text Solution

    |

  3. A and B run a kilometre and A wins by 25 sec. A and C run a kilometre ...

    Text Solution

    |

  4. Two cars start at the same time from one point and move along two road...

    Text Solution

    |

  5. In a 1 km race, A beats B by 30 seconds and B beats C by 15 seconds. I...

    Text Solution

    |

  6. Two guns are fired from the same place at an interval of 6 minutes. A ...

    Text Solution

    |

  7. Ram arrives at a Bank 15 minutes earlier than scheduled time If he dri...

    Text Solution

    |

  8. A and B started at the same time from the same place for a certain des...

    Text Solution

    |

  9. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer....

    Text Solution

    |

  10. A man complete a certain journey by car. If he travels 30% of distance...

    Text Solution

    |

  11. The distance of two places A to B is 60 km. At the same time a man sta...

    Text Solution

    |

  12. P and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/ h...

    Text Solution

    |

  13. Ravi and Ajay start simultaneously from a place A towards B, 60 km apa...

    Text Solution

    |

  14. A man travelled a distance of 61 km in 9 hours, parts on foot at the r...

    Text Solution

    |

  15. If a man walks at the rate of 5 km/hour he misses a train by 7 minutes...

    Text Solution

    |

  16. A man has to be at a certain place at a certain time. He finds that he...

    Text Solution

    |

  17. Ravi travels 300km partly by train and partly by car. He takes 4 hours...

    Text Solution

    |

  18. A is twice as fast runner as B, and B is thrice as fast runner as C. I...

    Text Solution

    |

  19. Two trains A and B start from stations X and Y towards Y and X respect...

    Text Solution

    |

  20. Ram travelled 1200km by air which formed (2)/(5) of his trip. He trave...

    Text Solution

    |