# Boats and Streams

## Boats and Streams

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Question 1 |

A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.

2 hours | |

3 hours | |

4 hours | |

5 hours |

Question 1 Explanation:

Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time taken to travel 68 km downstream = 68/17hrs = 4 hrs.

Question 2 |

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

8.5 km/hr | |

9 km/hr | |

10 km/hr | |

12.5 km/hr |

Question 2 Explanation:

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.
Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.

Question 3 |

In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

3 km/hr | |

5 km/hr | |

8 km/hr | |

9 km/hr |

Question 3 Explanation:

Speed in still water =(1/2)*(11 + 5) kmph = 8 kmph.

Question 4 |

A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

4 km/hr | |

6 km/hr | |

8 km/hr | |

Data inadequate |

Question 4 Explanation:

Rate downstream =16/2kmph = 8 kmph.
Rate upstream = 16/4kmph = 4 kmph.
Speed in still water = (1/2)*(8 + 4) kmph = 6 kmph.

Question 5 |

The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:

1.2 km | |

1.8 km | |

2.4 km | |

3.6 km |

Question 5 Explanation:

Speed downstream = (15 + 3) kmph = 18 kmph.
Distance travelled =(18 x(2/60))km = 3.6 km.

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There are 5 questions to complete.