A train that is 1 mile long starts through a tunnel that is also 1 mile long. The train is traveling 15 miles per hour. How long does it take for the train to get completely out of the tunnel?
It takes 1/15 hour for the engine to enter and leave the tunnel
When the engine is leaving, the caboose is entering, and also takes 1/15 hour to pass through the tunnel.
Answer is 1/15 + 1/15 = 8 minutes.
8 minutes
To find out how long it takes for the train to get completely out of the tunnel, we need to figure out how much time it takes for the train to cover a distance of 2 miles (1 mile for the train and 1 mile for the tunnel).
The formula for time is:
Time = Distance / Speed
In this case, the distance is 2 miles and the speed is 15 miles per hour. Therefore:
Time = 2 miles / 15 miles per hour
To simplify the calculation, we can convert 15 miles per hour into miles per minute, as there are 60 minutes in an hour:
15 miles per hour = 15 miles / 60 minutes = 0.25 miles per minute
Now we can substitute the values into the formula:
Time = 2 miles / 0.25 miles per minute
Dividing 2 miles by 0.25 miles per minute:
Time = 8 minutes
So, it will take 8 minutes for the train to get completely out of the tunnel.