Home
Class 10
MATHS
The distance between two station is d km...

The distance between two station is d km. A train went the second station from the first station with uniform velocity. If the velocity of the train would be a km more, then the time taken by the train would be t hours lesser than before.

Text Solution

Verified by Experts

The correct Answer is:
`tx^(2)+atx-da=0;`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.2|26 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.3|43 Videos

  • QUADRATIC EQUATION IN ONE VARIABLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-1.5|40 Videos

  • PYTHAGORAS THEOREM

    CALCUTTA BOOK HOUSE|Exercise EXAMPLE 6|4 Videos

  • QUADRATIC SURDS

    CALCUTTA BOOK HOUSE|Exercise Exercise -3.2|28 Videos

Similar Questions

Explore conceptually related problems

The distance between two places is 200 km. The time taken by moter car to travel from one place to another is more by 2 hrs than the time taken by a zeep car.If the speed of the motor car is 5 kms/hr less than the speed of the zeep car, then find the speed of the motor car.

A train moves with uniform velocity u while going from station p to station Q. It returns along the same path with uniform velocity V. Its average velocity during the journey is :

Two stations A and B are 2km apart. A train moves at first with a uniform acceleration a_(1) and then with a uniform retardation a_(2) to travel the distance AB in 4 min.Then

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.

A particle starts from the origin and moves along a straight line. If the velocity of the particle at time t seconds be 10t cm/s, find the distance traversed during first 4 seconds after the start.

A train starts from a station and stops at another station. First the velocity of the train increases at a uniform rate, reaches a maximum velocity v and then starts decreasing at a constant rate. If the time spent for the entire journey is t, prove that the distance between the two stations is (1)/(2) vt.

A train is moving with a uniform velocity of 66 km per hour along a circular railway line of radius 750 m . Find the angle in degrees which the train subtends at the centre in 10 seconds.

CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.1
  1. Explain the term 2x^(2)+4x-5=(x-3)(x+4)+2 in the form of ax^(2)+bx+c=0...

    Text Solution

    |

  2. Explain the equation (x-1)^(3)=x^(2)(x+2) in the quadratic form of ax^...

    Text Solution

    |

  3. Form a quadratic equation in one variable from the following statement...

    Text Solution

    |

  4. Explain the term x-(1)/(2x)+2=8(xne0) in the standard form of ax^(2)+b...

    Text Solution

    |

  5. Which of the following polynomials are quadratic polynomials ?

    Text Solution

    |

  6. Express the following eqautions in the form of ax^(2)+bx+c=0, where a,...

    Text Solution

    |

  7. Determine for which power of the variable x, the equation x-6sqrtx+2=0...

    Text Solution

    |

  8. Find for what value of a the equation (a-1)x^(2)+x(x+2)+8=0 is not a q...

    Text Solution

    |

  9. Express the term (x)/(k-x)=(1)/(4x)(xne0,xnek) in the quadratic equati...

    Text Solution

    |

  10. Find the coefficient of x^(3),x^(2),xandx^(0) of the equation (x-1)^(5...

    Text Solution

    |

  11. a is divided into two such parts that one part is equal to the square ...

    Text Solution

    |

  12. The product of two consecutive positive odd numbers is 323.

    Text Solution

    |

  13. The length of the diagonal of a rectangle is 13m and the length of it ...

    Text Solution

    |

  14. The distance between two station is d km. A train went the second stat...

    Text Solution

    |

  15. A person bought some kg of suger for Rs p. If he would get 8 kg sugar ...

    Text Solution

    |

  16. A clock-seller sold a clock in RS (alpha+beta) by purchasing it. Then ...

    Text Solution

    |

  17. If the speed of the stream is a km/hr, then the time taken by Prosanta...

    Text Solution

    |

  18. There is a road of equal width around the outside of a rectangular pla...

    Text Solution

    |

  19. The unit digit of a two digit number exceeds its tens' digit by 7 and ...

    Text Solution

    |

  20. The time taken to clean out a garden by Priyo is t(1) hours more then ...

    Text Solution

    |