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What could be the length of the train while the train travelling speed 60km per hour It takes 2 min to pass 1.5 km Cave?
Wiki User
∙ 13y ago
I am not sure if this question is correct, but my interpretation of the situation would be as follows.
We consider the time it takes to pass through a tunnel to be the time that it takes from when the very front of the vehicle enters the tunnel to when the very end of the vehicle leaves the tunnel.
Imagine a driver at the very front of the train and a conductor at the very back of the train. The distance between them would give the length of the train. At the beginning of the 2 minutes that it takes to pass through the tunnel the driver is at the opening of the tunnel. At the very end of the 2 minutes the conductor is at the exit of the tunnel. At that time the driver is still a trains length in front of the conductor. Therefore, in the 2 minutes the driver has travelled the length of the tunnel (1.5km) plus the length of the train (we will call this x).
We are going to use the formula speed = distance travelled/time
which rearranges to distance travelled = speed * time
speed(km/h) = 60
distance travelled (km)= 1.5 + x
time(minutes) = 2
time is in minutes so we must convert speed to minutes:
60km/h = 1km/min
substituting these into distance travelled = speed * time gives:
1.5 + x = 1 * 2
1.5 + x = 2
x = 0.5
So, the length of the train must be 0.5 kilometres, which seems very high.
Wiki User
∙ 13y ago
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