Home
Class 12
MATHS
The fuel charges for running a train are...

The fuel charges for running a train are proportional to the square of the speed generated in km/h, and the cost is Rs. 48 at 16 km/h. If the fixed charges amount to Rs. 300/h, the most economical speed is 60 km/h (b) 40 km/h 48 km/h (d) 36 km/h

Promotional Banner

Topper's Solved these Questions

  • Maxima and Minima

    A DAS GUPTA|Exercise EXERCISE|59 Videos
  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos
  • Miscellaneous Exercises

    A DAS GUPTA|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

The fuel charges for running a train are proportional to the square of the speed generated in km/h, and the cost is Rs. 48 at 16 km/h. If the fixed charges amount to Rs. 300/h, the most economical speed is (a) 60 km/h (b) 40 km/h 48 km/h (d) 36 km/h

The fuel cost per hour for running a train is proportional to the square of the speed generated in km/h. if the fuel cost is Rs.48/h at 16 km/h . It the fixed charges amount to Rs.1200/h The most economical speed to run the train is:

The fuel charges for running a train are proportional to the square of the speed generated in km per hour and cost Rs 100 per hour at 20km/hr. If the fixed charge amount to Rs. 10,000 per hour, the most economical speed in km per hour is equal to K, then k/50=

The fuel cost per hour for running a train are proportional to the square of the speed generated in km/h. if the fuel cost is Rs . 48 at 16 km/h . It the fixed charges amount to Rs. 1200/h. The fuel cost for the train to travel 500km at the most economical speed is:

The fuel cost per hour for running a train are proportional to the square of the speed generated in km/h. if the fuel cost is Rs . 48 at 16 km/h . It the fixed charges amount to Rs. 1200/h. If the train has travelled a distance of 500km, then the total cost of running the train is given by function:

The fuel cost per hour for running a train is proportional to the square of the speed it generates in km per hour. If the fuel costs ₹ 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to ₹ 1200 per hour Assume the speed of the train as v km/h. Given that the fuel cost per hour is k times the square of the speed the train generates in km/h, the value of k is:

The fuel cost per hour for running a train is proportional to the square of the speed it generates in km per hour. If the fuel costs ₹ 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to ₹ 1200 per hour. Assume the speed of the train as v km/h. The total cost of the train to travel 500km at the most economical speed is:

Speed of the train is 60 km/h, then find the speed of m/s.

Speed of the train is 60 km/h, then find the speed of m/s.

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. What is the area of the largest triangle that can be inscribed in a se...

    Text Solution

    |

  2. x and y be two variables such that xgt0 and xy=1. Then the minimum val...

    Text Solution

    |

  3. The value of a so that the sum of the squares of the roots of the equa...

    Text Solution

    |

  4. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  5. The total cost of making n pocket radios per day is Rs{(n^2)/4 +35n + ...

    Text Solution

    |

  6. A telephone company in a town has 500 subscribers on its list and c...

    Text Solution

    |

  7. If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...

    Text Solution

    |

  8. Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^...

    Text Solution

    |

  9. A right cylindrical vessel of a given capacity is formed using least p...

    Text Solution

    |

  10. Let f(x) =(x-1)^p.(x-2)^q where p > 1, q > 1. Each critical point of f...

    Text Solution

    |

  11. The point (0, 3) is closest to the curve x^2 = 2y at

    Text Solution

    |

  12. For the function f(x)=xe^x, the point

    Text Solution

    |

  13. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

    Text Solution

    |

  14. N Characters of information are held on magnetic tape, in batches of x...

    Text Solution

    |

  15. The function f(x) = x^2+a/xcannot have a maximum at x = -3 for any rea...

    Text Solution

    |

  16. Find the maximum slope of the curve y=-x^3+3x^2+2x-27 .

    Text Solution

    |

  17. Two points A(1, 4) & B(3, 0) are given on the ellipse 2x^(2) + y^(2) =...

    Text Solution

    |

  18. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  19. P is a variable point on the curve y= f(x) and A is a fixed point in...

    Text Solution

    |

  20. The fuel charges for running a train are proportional to the square of...

    Text Solution

    |