Home
Class 10
MATHS
A motor boat heads upstream a distance o...

A motor boat heads upstream a distance of 24 km in a river whose current is running at 3 km per hour. The trip up and back takes 6 hours. Assuming that the motor boat maintained a constant speed, what was its speed in still water?

Text Solution

Verified by Experts

The correct Answer is:
9 kmph
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 5.3|16 Videos
  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 5.4|8 Videos
  • QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 5.1|12 Videos
  • PROGRESSIONS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE (FOR EXTENSIVE LEARNING)|7 Videos
  • REAL NUMBERS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|5 Videos

Similar Questions

Explore conceptually related problems

A boat takes 1.6 hours longer to go 36kms up a river than down the river. If the speed of the water current is 4 km per hr, what is the speed of the boat in still water?

Two observers are stationed in two boats 4.5 km apart. A sound signal sent by one, under water, reaches the other after 3 seconds. What is the speed of sound in the water?

Pratik travels by boat 36 km down a river and back in 8 hours. If the speed of his boat in still water is 12 km/hr, find the speed of the river current.

A boat takes 6 hours to travel 8 km up stream and 32 km down stream and it takes 7 hours to travel 20 km upstreamand 16 km downstream. Fing the speed of the boat in still water and the speed of the stream.

Formulate the following problems as a pair of equations and then find their solutions. i. A boat goes 30km upstream and 44 km downstream in 10 hours. In 13 hours. In 13 hours it can go 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.

An automobile driver travels from a plain to a hil station 120 km away at an average speed of 30 km per hour. He then makes the return trip at an average speed 25 km per hour. He covers another 120 km on the plain at an average speed of 50 km per hour. His average speed (in km/hr) over the entire distance of 360 km will be

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

NCERT TAMIL-QUADRATIC EQUATIONS-EXERCISE - 5.2
  1. Find the roots of the quadratic equations by factorisation: x^(2)-3...

    Text Solution

    |

  2. Find the roots of the quadratic equations by factorisation: 2x^(2)+x...

    Text Solution

    |

  3. Solve the following quadratic equations by factorization method. sqr...

    Text Solution

    |

  4. Find the roots of the quadratic equations by factorisation: 2x^(2)-x...

    Text Solution

    |

  5. Find the roots of the quadratic equations by factorisation: 100x^(2)...

    Text Solution

    |

  6. Find the roots of the quadratic equations by factorisation: x(x+4)=1...

    Text Solution

    |

  7. Find the roots of the quadratic equations by factorisation: 3x^(2)-5...

    Text Solution

    |

  8. Find the roots of the quadratic equations by factorisation: x-(3)/(x...

    Text Solution

    |

  9. Find the roots of the quadratic equations by factorisation: 3(x-4)^(...

    Text Solution

    |

  10. Find two numbers whose sum is 27 and product is 182.

    Text Solution

    |

  11. Find two consecutive positive integers, sum of whose squares is 613.

    Text Solution

    |

  12. The altitude of a right triangle is 7 cm less than its base. If the hy...

    Text Solution

    |

  13. A cottage industry produces a certain number of pottery articles in a ...

    Text Solution

    |

  14. Find the dimensions of a rectangle whose perimeter is 28 meters and wh...

    Text Solution

    |

  15. The base of a triangle is 4cm longer than its altitude. If the area of...

    Text Solution

    |

  16. Two trains leave a railway station at the same time. The first train t...

    Text Solution

    |

  17. In a class of 60 students, each boy contributed rupees equal to the nu...

    Text Solution

    |

  18. A motor boat heads upstream a distance of 24 km in a river whose curre...

    Text Solution

    |