# Aptitude - Problems on Trains

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- 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

Speed = | 60 x | 5 | m/sec | = | 50 | m/sec. | ||

18 | 3 |

Length of the train = (Speed x Time).

Length of the train = | 50 | x 9 | m = 150 m. | |

3 |

Speed of the train relative to man = | 125 | m/sec | |

10 |

= | 25 | m/sec. | |

2 |

= | 25 | x | 18 | km/hr | |

2 | 5 |

= 45 km/hr.

Let the speed of the train be *x* km/hr. Then, relative speed = (*x* - 5) km/hr.

*x* - 5 = 45 *x* = 50 km/hr.

Speed = | 45 x | 5 | m/sec | = | 25 | m/sec. | ||

18 | 2 |

Time = 30 sec.

Let the length of bridge be *x* metres.

Then, | 130 + x |
= | 25 |

30 | 2 |

2(130 + *x*) = 750

*x* = 245 m.

Video Explanation: https://youtu.be/M_d8WufJWKc

Let the speeds of the two trains be *x* m/sec and y m/sec respectively.

Then, length of the first train = 27*x* metres,

and length of the second train = 17*y* metres.

27x + 17y |
= 23 | |

x+ y |

27*x* + 17*y* = 23*x* + 23*y*

4*x* = 6*y*

x |
= | 3 | . | |

y |
2 |

Speed = | 54 x | 5 | m/sec = 15 m/sec. | |

18 |

Length of the train = (15 x 20)m = 300 m.

Let the length of the platform be *x* metres.

Then, | x + 300 |
= 15 |

36 |

*x* + 300 = 540

*x* = 240 m.