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 than the second train. If after two hours they are 50 km. apart, find the average speed of each train.

Text Solution

Verified by Experts

The correct Answer is:
15 km, 20 km
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NCERT KANNAD|Exercise EXERCISE - 5.3|16 Videos

  • QUADRATIC EQUATIONS

    NCERT KANNAD|Exercise EXERCISE - 5.4|8 Videos

  • QUADRATIC EQUATIONS

    NCERT KANNAD|Exercise EXERCISE - 5.1|12 Videos

  • PROGRESSIONS

    NCERT KANNAD|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|5 Videos

  • REAL NUMBERS

    NCERT KANNAD|Exercise OPTIONAL EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

From a station two trains start at the same time. One train moves west and the other moves north. First train moves 5 km/hr faster than the second train. If, after 2 hours, the distance between the two trains is 50 km, find the average speed of each train.

A man travels a distance of 196 km by train and returns in a car which travels at a speed of 21 km/hours more than the train if the total journey takes 11 hour. Find the average speed of the train and the car respectively.

A fast train takes 3 hours less than a slow train for a journey of 600 km . If the speed of the slow train is 10 km/hr less than the fast train, find their speeds.

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 11km/h more than that of the passenger train , find the average speed of the two trains.

A train travels 360 km at a uniform speed. If the speed had been 5 km /h more, it would have taken 1 hour less for the same journey. Find the speed of the 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.

Between two stations a train accelerates uniformly at first, then moves with constant velocity and finally retards uniformly. If the ratio of the time taken for these is 1:8:1 and the maximum speed attained be 60 km h- then what is the average speed over the whole journey ?

The distance between two stations is 240 km. A train takes 4 hours to cover this distance. Calculate the speed of the train

Priya travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.

Anirudh can row downstream 20km in 2 hours, and upstream 4 km in 2 hours. Find his speed of rowing in still water and speed of the current. OR Adithya travels 300 km to her house partly by bus. She taken 4 hours if she travels 60km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 min longer. find the speed of the train and the bus separately.

NCERT KANNAD-QUADRATIC EQUATIONS-EXERCISE - 5.2
  1. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  2. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  3. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  4. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  5. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  6. Find the roots of the quadratic equations by factorisation: x(x+4)=1...

    Text Solution

    |

  7. Find the roots of the quadratic equations by factorisation: 3x^(2)-5...

    Text Solution

    |

  8. Find the roots of the quadratic equations by factorisation: x-(3)/(x...

    Text Solution

    |

  9. Find the roots of the quadratic equations by factorisation: 3(x-4)^(...

    Text Solution

    |

  10. Find two numbers whose sum is 27 and product is 182.

    Text Solution

    |

  11. Find two consecutive positive integers, sum of whose squares is 613.

    Text Solution

    |

  12. The altitude of a right triangle is 7 cm less than its base . If the h...

    Text Solution

    |

  13. A cottage industry produces a certain number of pottery articles in a ...

    Text Solution

    |

  14. Find the dimensions of a rectangle whose perimeter is 28 meters and wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. A motor boat heads upstream a distance of 24 km in a river whose curre...

    Text Solution

    |