Home
Class 12
MATHS
Assuming the petrol burnt (per hour) in ...

Assuming the petrol burnt (per hour) in driving a motor boat veries as the cube of its velocity, show that the most economical speed when going against the current of `c` miles per hour is `((3c)/2)` miles per hour.

A

`(c)/(2)m//h`

B

`(2c)/(3)m//h`

C

`(3c)/(2)m//h`

D

2c m/h

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2019 PAPER 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

  • MOCK TEST 2

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

If the petrol burnt per hour in driving a motor boat varies as the cube of it's velocity when going against a current of C .KMPH the most economical speed is

A train travels at an average speed of 50 miles per hour. It travels for 2 1/2 hours.

A boat which has a speed of 5 km per hour in still water crosses a river of width 1 km along the shortest possible path in fifteen minutes. The velocity of the river water in km per hour is :-

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 1-MCQS
  1. If the coordinates of the points A, B, C be (-1, 3, 2), (2, 3, 5) and...

    Text Solution

    |

  2. If the positive numbers a, b and c are the pth, qth and rth terms of G...

    Text Solution

    |

  3. The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a...

    Text Solution

    |

  4. If hata,hatb and hatc are three unit vectors inclined to each other at...

    Text Solution

    |

  5. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

    Text Solution

    |

  6. if sinA-sqrt(6)cosA=sqrt(7)cosA, then cosA+sqrt(6)sinA is equal to

    Text Solution

    |

  7. L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], Iff(x)i s continuou...

    Text Solution

    |

  8. if siny=xsin(a+y) and sec^2y(dy)/(dx)=(A)/(1+x^(2)-2xcosa) then the va...

    Text Solution

    |

  9. Let f(x) be a differentiable function such that f'(x)=sinx+sin4xcosx...

    Text Solution

    |

  10. If xsintheta=ycostheta=(2ztantheta)/(1-tan^2theta), then 4z^2(x^2+y^2)...

    Text Solution

    |

  11. Assuming the petrol burnt (per hour) in driving a motor boat veries as...

    Text Solution

    |

  12. int(x e^(x))/((1+x)^(2)) dx is equal to

    Text Solution

    |

  13. intx^(-2//3)(1+x^(1//2))^(-5//3) dx is equal to

    Text Solution

    |

  14. The harmonic mean of two numbers is 4. Their arithmetic mean A and the...

    Text Solution

    |

  15. Form the differential equation of family of lines situated at a con...

    Text Solution

    |

  16. A curve y=f(x) passes through point P(1,1) . The normal to the curv...

    Text Solution

    |

  17. The solution of the differential equation x^2(dy)/(dx)cos1/x-ysin1/x=-...

    Text Solution

    |

  18. The probability distribution of the random variables X is given by {...

    Text Solution

    |

  19. If A=[(a,b),(c,d)] is such that |A|=0 and A^(2)-(a+d)A+kI=0,then k is...

    Text Solution

    |

  20. Let PQR be a right - angled isosceles triangle , right angled at P(2,1...

    Text Solution

    |