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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 ?

  • 15 seconds
  • 12.1 seconds
  • 10 seconds
  • 8.1 seconds

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

Similar Questions :

1. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ?

  • 45 m
  • 50 m
  • 55 m
  • 60 m

Answer: Option B

Explanation:

First person speed = 2*(5/18) = 5/9 m/sec
Second person speed = 4*(5/18) = 10/9 m/sec

Let the length of train is x metre and speed is y m/sec

then,
xy−59=9=>9y−5=x=>9y−x=5.....(i)Also,xy−109=1090y−9x=100.....(ii)from (i) and (ii), we get,x=50


So length of train is 50 metre

2. Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other, is

  • 9.8 seconds
  • 10.8 seconds
  • 11.8 seconds
  • 12.8 seconds

Answer: Option B

Explanation:

Relative Speed = 60+40 = 100 kmph
= 100*(5/18) = 250/9 m/sec

Distance = 140+160 = 300 meters

Time = Distance/Speed

300∗9250=545=10.8 seconds



So the time trains will take to cross each other will be 10.8 seconds

3. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train ?

  • 2779
  • 2879
  • 2979
  • 3079

Answer: Option A

Explanation:

As Trains are moving in same direction,
So, Relative Speed = 40-20 = 20 kmph
= 20*(5/18) = 50/9 m/sec

Length of Train= Speed * Time

Length=509∗5=2509=2779

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
  • 3:5
  • 3:7

Answer: Option B

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,
Length of the second train = 17y metres.
[because distance = speed*time]

27x+17yx+y=23=>27x+17y=23x+23y=>4x=6y=>xy=64


So ratio of the speeds of train is 3:2

5. A train, 800 meter long is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel ?

  • 650 meter
  • 555 meter
  • 500 meter
  • 458 meter

Answer: Option C

Explanation:

Let length of tunnel is x meter
Distance = 800+x meter
Time = 1 minute = 60 seconds

Speed = 78 km/hr = 78*5/18 m/s = 65/3 m/s

Distance = Speed*Time
=>800+x=653∗60=>800+x=20∗65=1300=>x=1300−800=500



So the length of the tunnel is 500 meters.

[If you want to calculate it practically, then please have your copy and pen and take a ride of Kalka to Shimla toy train in north India. It has many tunnels on the way :) ]

Read more from - Problems on Trains Questions Answers
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