Home
Class 14
MATHS
In a stream running at 3 km/h, a motorbo...

In a stream running at 3 km/h, a motorboat goes 12 km upstream and back to the starting point in 60 min. Find the speed of the motorboat in still water. (in km/h) /
एक मोटरबोट 12 किमी धारा की दिशा में जाती है और 60 मिनट में शुरुआती बिंदु पर वापस आती है। यदि धारा की गति 3 किमी /घंटा है, शांत जल में मोटरबोट की गति का पता लगाएं। (किमी / घंटा में)

A

`2(2+sqrt(17))`

B

`2(4+sqrt(15))`

C

`3(4+sqrt(17))`

D

`3(2+sqrt(17))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AVERAGE

    GAGAN PRATAP |Exercise Multiple Choice Questions|105 Videos
  • CALCULATION & SIMPLIFICATION

    GAGAN PRATAP |Exercise Questions|135 Videos

Similar Questions

Explore conceptually related problems

In a steam running at 2 km/h, a motorboat goes 10 km upstream and back again to the starting point in 55 min. Find the speed of the motorboat in still water (A) 22 km/h (B) 32 km/h (c ) 42 km/h (D) 52 km/h

The speed of the current is 5 km/h. A motorboat goes 10 km upstream and back again to the starting point in 50 min. The speed, (in km/h) of the motorboat in still water is

A motorboat goes 24 km in 2 hour along the stream and 10 km in 1 hour against the stream. The speed of the motorboat in Kilometers per hour, is: एक मोटरबोट धारा के साथ 2 घंटे में 24 किमी और धारा के खिलाफ 1 घंटे में 10 किमी जाती है। प्रति घंटे किलोमीटर में मोटरबोट की गति है:

A boat can go 30 km downstream and 24 km upstream in 2 hours 27 minutes.Also, it can go 20km downstream and 8 km upstream in 74 minutes. What is the speed of the boat in still water in km/h? एक नाव 2 घंटे 27 मिनट में 30 किमी धारा के अनुकूल और 24 किमी धारा के प्रतिकूल जा सकती है | साथ ही, यह 74 मिनट में 20 किमी धारा के अनुकूल और 8 किमी धारा के प्रतिकूल जा सकती है | स्थिर जल में नाव की चाल ( किमी/घंटा में ) ज्ञात करें |

A man can row a distance of 900 meters against the stream in 12 minutes and returns to the starting point in 9 minutes. What is the speed (in km/h) of the man in still water ? / एक व्यक्ति धारा के विपरीत 900 मीटर की दूरी नाव से 12 मिनट में तय करता है तथा आरंभिक बिंदु पर 9 मिनट में पहुँचता है | स्थिर जल में व्यक्ति की चाल (किमी/घंटा में ) कितनी होगी ?

A boat moves downstream at the rate of 1 km in 7 1/2 minutes and upstream at the rate of 5km an hour. What is the speed (in km/hour) of the boat in the still water? एक नौका 7 1/2 मिनट में 1 किमी की गति से निचल प्रवाह में जाती है और 1 घंटे में 5 किमी को ग॒ति से ऊपरी प्रवाह में जाती है। स्थिर जल में नौका की गति (किमी/घंटा में) कितनी होगी?

A boat can go 30 km downstream and 24 km upstream in 2 hours 27 minutes. Also, it can go 10 km downstream and 4 km upstream in 37 minutes. What is the speed of the boat upstream (in km/h)? एक नाव 2 घंटे 27 मिनट में धारा के अनुकूल 30 किमी तथा धारा के प्रतिकूल 24 किमी जा सकती है| साथ ही, यह 37 मिनट में 10 किमी धारा के अनुकूल तथा 4 किमी धारा के प्रतिकूल जा सकती है| धारा के प्रतिकूल नाव की चाल ( किमी/घंटा में) क्या है ?

A boat goes at 20 km/h up stream and at 30 km/h down the stream. What is the speed of this boat in still water ? कोई नाव 20 km/h की गति से उध्र्वप्रवाह (अपस्ट्रीम) और 30 km/h की गति से अनुप्रवाह (डाउनस्ट्रीम) चलती है | स्थिर जल (स्टिल वाटर) में नाव की गति कितनी है ?

GAGAN PRATAP -BOAT & STREAM-MULTIPLE CHOICE QUESTIONS
  1. A man goes downstream with a boat to some destination and returns upst...

    Text Solution

    |

  2. A man can row 14 km/h in still water. If the speed of the current is 6...

    Text Solution

    |

  3. A boat goes 112 km downstream and comes back to the starting point in ...

    Text Solution

    |

  4. The speed of boat in still water is 20 km/hr. A boat covers 120 km nad...

    Text Solution

    |

  5. The speed of the current is 8 km/hour. A motorboat goes 150 km upstrea...

    Text Solution

    |

  6. A boat takes 4 hours to travel from a place X to Y downstream and back...

    Text Solution

    |

  7. In a stream running at 3 km/h, a motorboat goes 12 km upstream and bac...

    Text Solution

    |

  8. A man covers 39 km upstream an 116 km downstream in 7 hrs. He also cov...

    Text Solution

    |

  9. A boat takes 8 hr. to cover 65 km in upstream and 75 km in downstream....

    Text Solution

    |

  10. A boat can go 30 km downstream and 24 km upstream in 2 hours 27 minute...

    Text Solution

    |

  11. A boat takes total 6 hr. to cover 36 km downstream and 24 km upstream ...

    Text Solution

    |

  12. A boat covers 16 km upstream and 24 km downstream in 4 hours, while it...

    Text Solution

    |

  13. A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, whi...

    Text Solution

    |

  14. A boat can go 3 km upstream and 5 km downstream in 55 minutes. It can ...

    Text Solution

    |

  15. A boat can go 5km upstream and 7 1/2km downstream in 45 minutes. It ca...

    Text Solution

    |

  16. On a river, Q is the midpoint between two points P and R on the same b...

    Text Solution

    |

  17. A man travels by a motor boat down a river to his office and back. Wit...

    Text Solution

    |

  18. A swimmer swims from a point A against a current for 5 minutes and the...

    Text Solution

    |

  19. A Watercraft goes downstream from one point to another in 19 hours. It...

    Text Solution

    |

  20. A ship is 77 km from the shore, springs a leak which admits 2 ton of w...

    Text Solution

    |