Final answer:
To find the time taken by the train to cross a tunnel, divide the length of the train by its speed. The time taken is 6 seconds.
Step-by-step explanation:
To find the time taken by the train to cross a tunnel, we need to calculate the time it takes for the train to cover a distance equal to its own length.
First, convert the speed of the train from km/h to m/s by dividing it by 3.6. So, 90 km/h = 90/3.6 = 25 m/s.
Next, use the formula: time = distance/speed. The distance the train needs to cover is its length, which is 150m. The speed is 25 m/s.
Substituting these values into the formula, we get: time = 150m / 25 m/s = 6 seconds.
Therefore, the time taken by the train to cross the tunnel is 6 seconds.