#### 300 ft. train travelling - Math riddle

**1. Math Riddles**

**A 300 ft. train is travelling 300 ft. per minute must travel through a 300 ft. long tunnel. How long will it take the train to travel through the tunnel?**

**Answer: 2 minutes **

**Explanation : **

To calculate the time it takes for the entire 300-foot train to pass through a 300-foot long tunnel, we can use a simple mathematical approach.

Let's denote the following variables:

D (Distance of the train) = 300 feet

S (Speed of the train) = 300 feet per minute

T (Time it takes to pass through the tunnel) = ?

We can use the formula: Time (T) = Distance (D) / Speed (S).

For the front of the train to enter the tunnel until the back of the train clears the tunnel, we need to consider the entire length of the train.

The front of the train needs to travel the length of the tunnel, which is 300 feet. So, the time it takes for the front to clear the tunnel is:

T1 (Time for the front) = D / S = 300 feet / 300 feet per minute = 1 minute.

Now, as the front of the train has cleared the tunnel, the back of the train has just entered the tunnel, and it also needs to traverse the entire length of the tunnel, which is another 300 feet. So, the time it takes for the back to clear the tunnel is:

T2 (Time for the back) = D / S = 300 feet / 300 feet per minute = 1 minute.

To find the total time it takes for the entire train to pass through the tunnel, we add the time it takes for the front and the time it takes for the back:

Total Time (T) = T1 (Time for the front) + T2 (Time for the back) = 1 minute + 1 minute = 2 minutes.

Therefore, it will take a total of 2 minutes for the 300-foot train to pass through the 300-foot long tunnel.

- A.2 min
- B.3 min
- C. 4 min
- D.8 min

**A.2 min**