###### Formulae

1. km/hr to m/s conversion

a km/hr = (a x5/18) m/s

2. m/s to km/hr conversion

a m/s = (a x18/5) km/hr

###### Exercise : Problems on Trains MCQ Questions and Answers

**1. **
A train 800 metres long is running at a speed of 78 km/hr . If it crosses a tunnel in 1 minutes, then the length of the tunnel ( in metres) is :

A. |

B. |

C. |

D. |

**Correct Answer : B. 500 **

**Description :**

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**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:

A. |

B. |

C. |

D. |

**Correct Answer : A. 35 km/hr **

**Description :**

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**3. **
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?

A. |

B. |

C. |

D. |

**Correct Answer : C. 60 km/hr **

**Description :**

Let the speed of the slower train be x m/sec.

Then, speed of the train = 2x m/sec.

Relative speed = ( x + 2x) = 3x m/sec.

(100 + 100)/8 = 3x => x = 25/3.

So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr.

**4. **
A man on riding crosses a bridge in 5 minutes when riding is being done at 15 kmph. The. length of the bridge is :

A. |

B. |

C. |

D. |

**Correct Answer : A. 1250 m **

**Description :**

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**5. **
A train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going?

A. |

B. |

C. |

D. |

**Correct Answer : B. 140 m **

**Description :**

Speed of the train relative to man = (59 + 7) kmph

= (66 x 5/18 ) m/sec

= ( 55/3) m/sec.

Time taken by the train to cross the man

:. (x + y)/15 = 20 or x + y = 300 or y =(300 – 160) m = 140m.

:. Length of the platform = 140 m.

**6. **
A person sees a train passing over 1 km long bridge. The length of the train is half that of bridge. If the train clears the bridge in 2 minutes the speed of the train is:

A. |

B. |

C. |

D. |

**Correct Answer : C. 45 kmph **

**Description :**

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**7. **
A train , having a length of 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train

A. |

B. |

C. |

D. |

**Correct Answer : B. 6 sec **

**Description :**

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**8. **
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?

A. |

B. |

C. |

D. |

**Correct Answer : C. 120 m **

**Description :**

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**9. **
A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A. |

B. |

C. |

D. |

**Correct Answer : C. 79.2 kmph **

**Description :**

Let the length of the train be x meters and its speed by y m/sec.

Then, x/y = 8

=> x = 8y

Now, [(x + 264)/20] = y

=> 8y + 264 = 20y

=> y = 22

∴ Speed = 22 m/sec = [22 × (18/5)] km/hr = 79.2 km/hr.

**10. **
How long does a rain 110 metres long running at he speed of 72 m/hr tae to cross a bridge 132 meres in length ?

A. |

B. |

C. |

D. |

**Correct Answer : C. 12.1 sec **

**Description :**

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