Home
Class 10
MATHS
Two trains leave a railway station at th...

Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster then the second train. If after two hours they are 50 km. apart, find the average speed of each train.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    BEYOND PUBLICATION|Exercise EXAMPLE|135 Videos
  • PROGRESSIONS

    BEYOND PUBLICATION|Exercise EXERCISE|259 Videos
  • QUESTION PAPER

    BEYOND PUBLICATION|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/hr more then that of the passenger train, find the average speed of the two trains.

A train takes 45 minutes to travel 51 kms. If the same train travels 221 kms, how much time is taken by it?

A train travels a distance of 480 km at a uniform speed. If the speed had been 8km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

A man walks 10 km, then travels a certain distance by train and then by bus as far as twice by the train. If the whole journey is of 70 km, how far did he travel by train ?

Represent the following situations in the form of quadratic equations : A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

A car travels the first half of a distance between two places a speed of 30 km/hr and the second half of the distance a 50 km/hr. The average speed of the car for the whole journey is

A car travels the first half of a distance between two places a speed of 30 km/hr and the second half of the distance a 50 km/hr.The average speed of the car for the whole journey is

BEYOND PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. Find the dimensions of a rectangle whose perimeter is 28 meters. And w...

    Text Solution

    |

  2. The base of a triangle is 4cm longer than its altitude. If the area of...

    Text Solution

    |

  3. Two trains leave a railway station at the same time. The first train t...

    Text Solution

    |

  4. In a class of 60 students, each boy contributed rupees equal to the nu...

    Text Solution

    |

  5. A motor boat heads upstream a distance of 24km on a river whose curren...

    Text Solution

    |

  6. Find the roots of the equation 5x^(2) - 6x - 2 = 0 by the method of co...

    Text Solution

    |

  7. Find the roots of 4x^(2) + 3x + 5 = 0 by the method of completing the ...

    Text Solution

    |

  8. Find two consecutive odd positive integers, sum of whose squares is 29...

    Text Solution

    |

  9. A rectangular park is to be designed whose breadth is 3 m less than it...

    Text Solution

    |

  10. Find the roots of the following quadratic equations, if they exist. ...

    Text Solution

    |

  11. Find the roots of the following quadratic equations, if they exist. ...

    Text Solution

    |

  12. Find the roots of the following equations: x + 1/x = 3, x ne 0

    Text Solution

    |

  13. Find the roots of the following equations: 1/x - 1/(x - 2) = 3 , x n...

    Text Solution

    |

  14. A motor boat whose speed is 18km/h in still water. It takes 1 hour mor...

    Text Solution

    |

  15. Solve the equations by completing the square. x^(2) - 10x + 9 = 0

    Text Solution

    |

  16. Solve the equations by completing the square x^(2) - 5x + 5 = 0

    Text Solution

    |

  17. Solve the equations by completing the square x^(2) + 7x - 6 = 0

    Text Solution

    |

  18. We have three methods to solve a quadratic equations. Among these thre...

    Text Solution

    |

  19. Find the roots of the following quadratic equations, if they exist, by...

    Text Solution

    |

  20. Find the roots of the following quadratic equations, if they exist, by...

    Text Solution

    |