Home
Class 12
MATHS
A man rides his motorcycle at the speed...

A man rides his motorcycle at the speed of 50 km/hour. He has to spend Rs. 2 per km on petrol. If he rides it at a faster speed of 80 km/hour, the petrol cost increases to Rs. 3 per km. He has atmost Rs. 120 to spend on petrol and one hour's time. He wishes to find the maximum distance that he can travel.
Express this problem as a linear programming problem.

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|42 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 12|14 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|11 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

Similar Questions

Explore conceptually related problems

Ramesh travells at the speed of 40km/hr. If he decreases his speed 4km each hour, then how much time he will taken to cover 216km?

A man drives his car uniformly at 30 km/h for three hour After it he covered next 90 km distance with uniform speed of 45 km/hr. Find the average speed of car.

A man travels 200 km distance with the speed of 40 m/s and next 50 km with the speed of 10 m/s . Find the average speed of man.

A car moving with a speed of 40 km/h can be stopped by applying brakes after at least 2m. If the same car is moving with a speed of 80 km/ h. The minimum stopping distance will be……………..

A car moving with a speed of 40 km//h can be stopped by applying the brakes after at least 2 m. If the same car is moving with a speed of 80 km//h , what is the minimum stopping distance?

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 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.

A car travels at a speed of 80 km/h during the first half of its running time and at 40 km/h during the other half. Find the average speed of the car. (60 km/h) ( AS_(7))

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?

KUMAR PRAKASHAN-LINEAR PROGRAMMING-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS
  1. A firm has to transport 1200 packages using large vans which can carry...

    Text Solution

    |

  2. A company manufactures two types of screws A and B. All the screws hav...

    Text Solution

    |

  3. A man rides his motorcycle at the speed of 50 km/hour. He has to spen...

    Text Solution

    |

  4. Refer to question 11. How many of circuits of Type A and of Type B, sh...

    Text Solution

    |

  5. Find the minimum value of Z = x + y subject to the constraints 2x+3y l...

    Text Solution

    |

  6. Solve the following linear programming problems graphically : Maximi...

    Text Solution

    |

  7. Solve the following linear programming problems graphically : Maximi...

    Text Solution

    |

  8. Refer to question 15. Determine the maximum distance that the man can ...

    Text Solution

    |

  9. Maximise z = x + y subject ot x+4y le 8, 2x+3y le 12, 3x+y le 9, x ge ...

    Text Solution

    |

  10. A manufacturer produces two models of bikes model X and model Y. Model...

    Text Solution

    |

  11. In order to supplement daily diet, a person wishes to take some of x a...

    Text Solution

    |

  12. A company makes 3 model of calculators : A, B and C at factory (I) and...

    Text Solution

    |

  13. Maximise Z = 10x + 7y subject to 2x+2y ge 16, " "6x+10y le 3...

    Text Solution

    |

  14. The corner points of the feasible region determined by the system of l...

    Text Solution

    |

  15. The feasible solution for a LPP is shown in Figure Let z = -3x - 4y ...

    Text Solution

    |

  16. The feasible solution for a LPP is shown in Figure Let z = -3x - 4y ...

    Text Solution

    |

  17. The corner points of the bounded feasible region are (0, 0), (0, 8), (...

    Text Solution

    |

  18. The feasible region for an LLP is shown in the Figure. Let z = 3x - 4y...

    Text Solution

    |

  19. The feasible region for an LLP is shown in the Figure. Let z = 3x - 4y...

    Text Solution

    |

  20. Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6...

    Text Solution

    |