A train x starts from Meerut at 4 PM and reaches Ghaziabad at 5 PM while another train y starts from Ghaziabad at 4 PM and reaches Meerut at 5:30 PM. Cross Find the time when two trains will cross each other.

Explanation

Let the distance between Ghaziabad and Meerut is `D` km.

Let Speed of train x is `S_x` km/h and speed of train y is `S_y` km/h.

Then, as speed is inversely proportional to the time taken, we have,

`S_x/S_y = 1.5/1 => S_x/S_y = 3/2=> S_y = (2S_x)/3`

Let after time, `t` both trains cross each other, then

`S_xt+S_yt= S_x**1`

`=>S_xt+ (2S_x)/3t= S_x`

`=>t+2/3t = 1=> 5t = 3=> t = 3/5` hour

...