A train crosses 100 m and 60 m long tunnels in 12 seconds and 8 seconds, respectively. Find the length and speed of the train.

Let the speed of the train be V km/h.

Length of the train be L m.

Length of the first tunnel = T m 

Length of the second tunnel = t m

The train crosses the first tunnel in 12 seconds, so

t = (L + T)/V

12 = (L + 100)/V

12V - L = 100 --------------------(1) 

Similarly, 8 = (L + 60)/V 

8V - L = 60 -----------------------(2) 

From (1) and (2),

V = 10 m/s = 36 km/h 

Now, putting the value of V in equation (1),

12V - L = 100

12(10) - L = 100

L = 20 m

So, length of the train is 20 m and speed is 36 km/h.