Home
Class 12
MATHS
Two trains start from the same place. A ...

Two trains start from the same place. A person travel in a train whose speed is 50 km/h and it go to south direction. Another person travel in another train whose speed is 60 km/h and it go to west direction. After two hours, find the rate of distance between them.

Text Solution

Verified by Experts

The correct Answer is:
`16sqrt(61)` km/h
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|83 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise MISCELANEOUS EXERCISE - 6|27 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

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.

Two trains each of length 50m. are running with constant speeds on parallel tracks. While moving in same direction one over takes the other in 40 seconds and while moving in opposite direction on ecrosses the other in 20 seonds. The speeds of trains will be:-

A person going away from a factory on his scooter at a speed of 36 km/hr listens to the siren of the factory. If the actual frequency of the siren is 700 Hz and a wind is blowing along the direction of the scooter at 36 km//hr, find the observed frequency heard by the person. (Given speed of sound = 340 m//s )

A train covers the first half of the distance between two stations at a speed of 40 km//h and the other half at 60km/h. Thenits average speed :-

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h, it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

A motorboat whose speed is 18km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

A ship A is moving Westwards with a speed of 10 km h^(-1) and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h^(-1). The time after which the distance between them becomes shortest, is :

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -PRACTICE WORK
  1. A cylinder is heated in such a way that its radius always remains twic...

    Text Solution

    |

  2. A kite is flying at a height 151.5 m from horiozontal. The speed of th...

    Text Solution

    |

  3. Two trains start from the same place. A person travel in a train whose...

    Text Solution

    |

  4. The area of a triangle is increasing at the rate of 4 cm^(2)//s. Its a...

    Text Solution

    |

  5. Show that f(x)=x^(3)-6x^(2)+12x-18 is an increasing function on R.

    Text Solution

    |

  6. Find the intervals in which f(x)=(4x^(2)+1)/(x) is increasing or decre...

    Text Solution

    |

  7. Find the least value of a such that the function given by f(x)=x^(2)+a...

    Text Solution

    |

  8. Prove that f(x)=x^(2)-x sin x is increasing on (0, (pi)/(2)).

    Text Solution

    |

  9. Find the value of a for which the function f(x)=ax^(3)-3(a+2)x^(2)+9(a...

    Text Solution

    |

  10. Find the in intervals in which f(x)=sin^(4)x+cos^(4)x is increasing or...

    Text Solution

    |

  11. f : (0, pi)to R, f(x)=2x+cot x. Find the intervals in which f(x) is st...

    Text Solution

    |

  12. Show that f(x)=x^(3)-3x^(2)+4x, x in R is strictly increasing on R.

    Text Solution

    |

  13. Without using differentiation, prove that f(x)=ax+b, where a gt 0 is s...

    Text Solution

    |

  14. f : R^(+)to R^(+), f(x)=(log x)/(sqrt(x)). Find the intervals in which...

    Text Solution

    |

  15. Find the equation of the tangent to the curve y^(2)=16x which is paral...

    Text Solution

    |

  16. Find the equation of the normal to the curve y = 8x which is perpendic...

    Text Solution

    |

  17. Prove that the curves x^(2)+y^(2)=ax and x^(2)+y^(2)=by are cuts ortho...

    Text Solution

    |

  18. Find the equation of the tangent and normal to the curve y^(2)(a+x)=x^...

    Text Solution

    |

  19. Show that the normal to the curve 5x^(5)-10x^(3)+x+2y+6=0 at P(0,-3) i...

    Text Solution

    |

  20. Show that a point at which the line (x)/(a)+(y)/(b)=1 touches to the c...

    Text Solution

    |