# Problems on Trains

## Problems on Trains

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Question 1 |

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

120 metres | |

180 metres | |

324 metres | |

150 metres |

Question 1 Explanation:

Speed= (60 x5/18)m/sec =50/3 m/sec.
Length of the train = (Speed x Time).
Length of the train =(50/3)x 9 m = 150 m.

Question 2 |

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

45 km/hr | |

50 km/hr | |

54 km/hr | |

55 km/hr |

Question 2 Explanation:

Speed of the train relative to man =(125/10) m/sec =(25/2)m/sec. =((25/2)x(18/5)km/hr = 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.

Question 3 |

The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

200 m | |

225 m | |

245 m | |

250 m |

Question 3 Explanation:

Speed = 45 x(5/18)m/sec =25/2 m/sec.
Time = 30 sec.
Let the length of bridge be x metres.
Then, (130 + x)/30=25/2
=> 2(130 + x) = 750
=>x = 245 m.

Question 4 |

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ..

1 : 3 | |

3 : 2 | |

3 : 4 | |

None of these |

Question 4 Explanation:

Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres,and length of the second train = 17y metres.
==> (27x + 17y)/(x+ y)= 23
=> 27x + 17y = 23x + 23y
=> 4x = 6y
=>> x/y=3/2

Question 5 |

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform ?

120 m | |

240 m | |

300 m | |

None of these |

Question 5 Explanation:

Speed = 54 x(5/18)m/sec = 15 m/sec.
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then, (x + 300)/30= 15
==>x + 300 = 540
==>x = 240 m.

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