A train is 1km long, it’s moving in a constant speed and enters a 3km long tunnel. from the time that it’s completely in and the time that it’s completely out, 30secs pass. what’s the speed of the train in km/h?

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DGB · Answer 1 · 2022-08-21T10:03:25+0000

To determine the speed of the train, we can use the formula:

Speed = Distance / Time

Let's calculate the speed of the train in kilometers per hour.

Given: Length of the train (L) = 1 km Length of the tunnel (T) = 3 km Time taken (t) = 30 seconds

First, we need to calculate the total distance traveled by the train, which is the sum of the train's length and the tunnel's length:

Total Distance (D) = Length of Train + Length of Tunnel D = L + T D = 1 km + 3 km D = 4 km

Next, we convert the time from seconds to hours:

Time (t) = 30 seconds = 30/3600 hours (since there are 3600 seconds in an hour)

Now, we can use the formula to calculate the speed:

Speed = Distance / Time Speed = D / t Speed = 4 km / (30/3600) hours

Simplifying further:

Speed = 4 km / (1/120) hours Speed = 4 km * 120 Speed = 480 km/h

Therefore, the speed of the train is 480 km/h.