# Aptitude - Boats and Streams

- Boats and Streams - Formulas
- Boats and Streams - General Questions
- Boats and Streams - Data Sufficiency 1
- Boats and Streams - Data Sufficiency 2

*Directions to Solve*

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

A boat takes a total time of three hours to travel downstream from P and Q and upstream back from Q to P. What is the speed of the boat in still water? | |

I. | The speed of the river current is 1 km per hour. |

II. | The distance between P and Q is 4 km. |

** I.** Speed of the current = 1 km/hr.

**II.** PQ = 4 km.

Let the speed of the boat in still water be *x* km/hr. Then,

4 | + | 4 | = 3. This gives x. |

(x + 1) |
(x - 1) |

Correct answer is (E).

What is the speed of the boat in still water? | |

I. | It takes 2 hours to cover the distance between A and B downstream. |

II. | It takes 4 hours to cover the distance between A and B upstream. |

Let AB = *x* km.

I. Speed downstream = |
x |
km/hr |

2 |

II. Speed upstream = |
x |
km/hr. |

4 |

Speed of boat in still water = | 1 | x |
+ | x |
km/hr. | |

2 | 2 | 4 |

Thus, I and II both even do not give the answer.

Correct answer is (D).

What is the speed of the boat in still water? | |

I. | The boat covers a distance of 48 kms in 6 hours while running upstream. |

II. | The boat covers the same distance in 4 hours while running downstream. |

I. Speed upstream = |
48 | km/hr = 8 km/hr. |

6 |

II. Speed downstream = |
48 | km/hr = 12 km/hr. |

4 |

Speed of the boat = | 1 | (8 + 12) km/hr = 10 km/hr. |

2 |

Thus, I and II together give the answer.

Correct answer is (E).