**Find the Time Taken by a Train to Pass a Man :**

In this section, we will learn how we find the time taken by a train to pass a man.

Time taken by a train of length l meters to pass a pole or standing man or signal post is equal to the time taken by the train to cover l meters.

The relationship between distance, speed and time.

Time = Distance / Speed

Speed = Distance / Time

Distance = Time ⋅ Speed

To convert minutes into hour, we should divide the given minutes by 60.

- If we want to convert the speed from km/hr to m/sec, we should multiply the speed by 5/18.
- If we want to convert the speed from m/sec to km/hr, we should multiply the speed by 18/5.

**Example 1 :**

A train 100 m long is running at the speed of 30 km/hr. Find the time taken by it to pass a man standing near the railway line.

**Solution :**

Length of the train = 100 m

Speed = 30 km/hr

To convert the speed from km/hr to m/sec, we multiply the speed by 5/18.

= 30 ⋅ (5/18)

= 5 ⋅ (5/3)

Required speed = (25/3) m/sec

Time taken by a train of length l meters to pass a pole or standing man or signal post is equal to the time taken by the train to cover l meters.

Time = distance / speed

= 100 / (25/3)

= 12 seconds.

So, the train of length 100 m is taking 12 seconds to cross a man standing near the railway line.

**Example 2 :**

In what time will a train 100 meters long cross an electric pole, if the speed be 144 km/hr.

**Solution :**

Length of the train = 100 meters

Speed of the train = 144 km/hr

Speed in m/sec = 144 ⋅ (5/18)

= 8 ⋅ 5

= 40 m/sec

Time = Distance / Speed

= 100/40

= 2.5 seconds

So, the train of length 100 m crosses an electric pole in 2.5 seconds.

- Find the time taken by the train to pass a man
- Find the time taken by a train to pass a bridge or tunnel
- Train passes a moving object in the same direction
- Problems on finding the length of the train
- Finding the average speed of the round trip
- Finding the Speed When the Distance Traveled is Same
- Two Cars Traveling Same Direction Different Speeds
- Two cars traveling in opposite direction

After having gone through the stuff given above, we hope that the students would have understood how to find the time taken by a train to pass a man.

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