# Aptitude - Problems on Trains

- Problems on Trains - Formulas
- Problems on Trains - General Questions
- Problems on Trains - Data Sufficiency 1
- Problems on Trains - Data Sufficiency 2
- Problems on Trains - Data Sufficiency 3

*Directions to Solve*

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

What is the speed of the train? | |

I. | The train crosses a signal pole in 18 seconds. |

II. | The train crosses a platform of equal length in 36 seconds. |

III. | Length of the train is 330 metres. |

Let the speed of the train be *x* metres/sec.

Time taken to cross a signal pole = | Length of the train |

Speed of the train |

Time taken to cross a platform = | (Length of the train + Length of the Platform) |

Speed of the train |

Length of train = 330 m.

I and III give, 18 = | 330 | x = |
330 | m/sec = | 55 | m/sec. |

x |
18 | 3 |

II and III give, 36 = | 2 x 330 | x = |
660 | m/sec = | 55 | m/sec. |

x |
36 | 3 |

Correct answer is (D).

What is the speed of the train? | |

I. | The train crosses a tree in 13 seconds. |

II. | The train crosses a platform of length 250 metres in 27 seconds. |

III. | The train crosses another train running in the same direction in 32 seconds. |

Let the speed of the train be *x* metres/sec.

Time taken to cross a tree = | Length of the train |

Speed of the train |

Time taken to cross a platform = | (Length of the train + Length of the Platform) |

Speed of the train |

I gives, 13 = | l |
13x. |

x |

II gives 27 = | l + 250 |

x |

13x + 250 |
= 27 | |

x |

x = |
125 | m/sec. |

7 |

Thus I and II give the speed of the train.

The correct answer is (A.)