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Two trains each 120 metres in length, run in opposite directions with velocities of 40 m/sec and 20 m/sec respectively. How long will it take for the tail end of the two trains to meet each other from the time their engines crossed each other?
  • a)
    2 seconds
  • b)
    3 seconds
  • c)
    4 seconds
  • d)
    5 seconds
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two trains each 120 metres in length, run in opposite directions with ...
Relative speed = (40 + 20) m/s
= 60 m/s
Distance covered = (120 + 120)m = 240 m
∴ Required Time = 240 x 1/60 = 4 sec
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Most Upvoted Answer
Two trains each 120 metres in length, run in opposite directions with ...
Distance travelled by Train 1 in the time taken for the tail end of the two trains to meet each other

Given that the velocity of Train 1 is 40 m/sec and the time taken is t sec, the distance travelled by Train 1 can be calculated as:

Distance = Velocity × Time
Distance = 40 × t

Distance travelled by Train 2 in the time taken for the tail end of the two trains to meet each other

Given that the velocity of Train 2 is 20 m/sec and the time taken is t sec, the distance travelled by Train 2 can be calculated as:

Distance = Velocity × Time
Distance = 20 × t

Total distance travelled by the two trains

Since the two trains are running in opposite directions, the total distance travelled by the two trains will be the sum of the distances travelled by each train. So, the total distance can be calculated as:

Total Distance = Distance travelled by Train 1 + Distance travelled by Train 2
Total Distance = 40t + 20t
Total Distance = 60t

Length of the two trains

Given that the length of each train is 120 meters, the total length of the two trains will be the sum of the lengths of each train. So, the total length can be calculated as:

Total Length = Length of Train 1 + Length of Train 2
Total Length = 120 + 120
Total Length = 240

Time taken for the tail end of the two trains to meet each other

The tail end of the two trains will meet each other when the total distance travelled by the two trains is equal to the total length of the two trains. So, we can equate the total distance to the total length and solve for time:

Total Distance = Total Length
60t = 240
t = 240/60
t = 4 seconds

Therefore, it will take 4 seconds for the tail end of the two trains to meet each other from the time their engines crossed each other. Thus, the correct answer is option 'C' - 4 seconds.
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Two trains each 120 metres in length, run in opposite directions with velocities of 40 m/sec and 20 m/sec respectively. How long will it take for the tail end of the two trains to meet each other from the time their engines crossed each other?a)2 secondsb)3 secondsc)4 secondsd)5 secondsCorrect answer is option 'C'. Can you explain this answer?
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