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 travelsdue west and the second train due north. The first train travels 5 km/hr faster than second train. If after two hours, they are 50 km apart, find the 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 TAMIL|Exercise EXERCISE - 5.3|16 Videos
  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 5.4|8 Videos
  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 5.1|12 Videos
  • PROGRESSIONS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|7 Videos
  • REAL NUMBERS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

Two trains leave a railway station at the same time. The first train travels due west and the second train due north . The first train travels at a speed of 20 km/ hr and the second train travels at 30 km/ hr. After 2 hours, what is the distance between them ?

A violin player riding on a slow train plays a 440 Hz note. Another violin player standing near the track plays the same note. When the two are close by and the train approaches the person on the ground, he hears 4'0 beats per second. The speed of sound in air = 340 ms^-1 (a) Calculate the speed of the train. (b) What beat frequency is heard by the player in the train ?

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangaluru (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.

Two trains are moving towards each other at speeds of 72kmh^-1 and 54 kmh^-1 relative to the ground. The first train sounds a whistle of frequency 600 Hz. Find the frequency of the whistle as heard by a passenger in the second train a. before the trains meet and b. after the trains have crossed each other. The speed of sound in air is 340 ms^-1

Represent the following situations in the form of quadratic equation: 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

Two vehicles leave the same place P at the same time moving along two different roads. One vehicle moves at an average speed of 60km/hr and the other vehicle moves at an average speed of 80km/hr. After half an hour the vehicle reach the destinations A and B. If AB subtends 60^(@) at the initial point. P, then find AB.

A train is travelling from west to east at an average speed of 120 km/hr. How far does this train travel in 6.0 second?

NCERT TAMIL-QUADRATIC EQUATIONS-EXERCISE - 5.2
  1. Find the roots of the quadratic equations by factorisation: x^(2)-3...

    Text Solution

    |

  2. Find the roots of the quadratic equations by factorisation: 2x^(2)+x...

    Text Solution

    |

  3. Solve the following quadratic equations by factorization method. sqr...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the roots of the quadratic equations by factorisation: 100x^(2)...

    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 hy...

    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

    |