Lets Make Thinks clear..
1. Its obvious that since the trains travel towards each other the speed is 60+60 miles/hr
2. The two trains will take 2/6 miles to cross themselves since the length of the train is 1/6 miles.
3. If it is 3600 sec for 120 miles then x sec for 2/6 miles
Therefore 120/3600 (2/6)/x
x 10 sec.