Problems on Trains Questions Answers

• 1. A train is 100 meter long and is running at the speed of 30 km per hour. Find the time it will take to pass a man standing at a crossing.

  1. 10 seconds
  2. 12 seconds
  3. 14 seconds
  4. 16 seconds

  Answer And Explanation

  Answer: Option B

  Explanation:

  As we need to get answer in seconds, so never forget to convert speed into meter per second.
  
  Speed = 30 km/hr = 30* 5/18 m/sec
  = 25/3 m/sec
  
  Distance = length of train = 100 meter
  
  Required time =
  \begin{aligned}
  \frac{Distance}{Speed} \\
  = \frac{100}{\frac{25}{3}} \\
  = 100* \frac{3}{25} = 12 sec \\
  \end{aligned}

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• 2. A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.

  1. 7 second
  2. 7.5 second
  3. 8 second
  4. 8.5 second

  Answer And Explanation

  Answer: Option B

  Explanation:

  As we need to calculate answer in seconds, so first convert speed into meter/sec.
  
  we know 1 km/hr = 1*(5/18) m/sec
  So, Speed = 132* (5/18) = 110/3 m/sec
  
  Distance need to be covered in passing the platform =
  Length of train + length of platform = 110 + 165
  = 275 meters
  
  Time = Distance/Speed
  
  \begin{aligned}
  => Time = 275* \frac{3}{110} = \frac{15}{2} \\
  = 7.5 seconds
  \end{aligned}

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• 3. In what time will a train 100 meters long cross an electric pole, if its speed is 144 km/hr

  1. 5 seconds
  2. 4.5 seconds
  3. 3 seconds
  4. 2.5 seconds

  Answer And Explanation

  Answer: Option D

  Explanation:

  First convert speed into m/sec
  
  Speed = 144*(5/18) = 40 m/sec
  
  Time = Distance/speed
  = 100/40 = 2.5 seconds

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• 4. How long does a train 110 meters long running at the speed of 72 km/hour take to cross a bridge 132 meters in length ?

  1. 15 seconds
  2. 12.1 seconds
  3. 10 seconds
  4. 8.1 seconds

  Answer And Explanation

  Answer: Option B

  Explanation:

  Speed = 72 km/hour = 72*(5/18) m/sec
  = 20 m/sec
  
  Total distance to be covered = 110+132 = 142 meters
  
  Time = Distance/Speed
  = 242/20 = 12.1 seconds

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• 5. A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length.

  1. 20 seconds
  2. 30 seconds
  3. 40 seconds
  4. 50 seconds

  Answer And Explanation

  Answer: Option C

  Explanation:

  Speed = 45 Km/hr = 45*(5/18) m/sec
  = 25/2 m/sec
  Total distance = 360+140 = 500 meter
  
  Time = Distance/speed
  \begin{aligned}
  = 500*\frac{2}{25} = 40 seconds
  \end{aligned}

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• 6. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.

  1. 150 meter
  2. 145 meter
  3. 140 meter
  4. 135 meter

  Answer And Explanation

  Answer: Option A

  Explanation:

  Speed = 60*(5/18) m/sec = 50/3 m/sec
  
  Length of Train(Distance) = Speed * Time
  
  \begin{aligned}
  = \frac{50}{3}*9 = 150 meter
  \end{aligned}

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• 7. Length of train is 130 meters and speed of train is 45 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.

  1. 230 meters
  2. 235 meters
  3. 240 meters
  4. 245 meters

  Answer And Explanation

  Answer: Option D

  Explanation:

  Let the length of bridge is X [as always we do :)]
  Speed of train is = 45*(5/18) m/sec = 25/2 m/sec
  Time = 30 seconds
  
  Total distance = 130+x
  We know Speed = distance/time
  so,
  \begin{aligned}
  \frac{130+x}{30} = \frac{25}{2} \\
  => 2(130+x) = 750 \\
  x = 245 \text{ meters}
  \end{aligned}
  
  So length of the bridge is 245 meters
  
  
  

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