A person is cycling, parallel to a railway track, at a speed of 10 km/hr. A train travelling in the same direction at 46 km/hr, passes him in 22 seconds. Find the length of the train.

To find the length of the train, we can use the concept of relative speed.

Let's break down the given information:

- The cyclist is traveling at a speed of 10 km/hr.
- The train is traveling at a speed of 46 km/hr.
- The train passes the cyclist in 22 seconds.

Now, let's calculate the relative speed between the train and the cyclist. Since both are traveling in the same direction, the relative speed is the difference between their speeds.

Relative Speed = Speed of Train - Speed of Cyclist
Relative Speed = 46 km/hr - 10 km/hr
Relative Speed = 36 km/hr

Now, we have the relative speed of the train with respect to the cyclist. To find the length of the train, we need to convert the relative speed from km/hr to m/s, as the time given is in seconds.

1 km/hr = (5/18) m/s (approx.)
Therefore, relative speed = 36 km/hr * (5/18) m/s = 10 m/s

Now, we can use the formula: Speed = Distance/Time
Distance = Speed * Time

Distance = 10 m/s * 22 s
Distance = 220 meters

Hence, the length of the train is 220 meters.

Vn = Vt-Vb = 46-10 = 36km/h.

Vn = 36km/h = 36000m/3600s. = 10 m/s =
Net velocity of train.

d = V*T = 10m/s * 22s = 220 m. = Length
of train.