A train left Lamar's town and traveled for 55 minutes to Danville. Then it traveled 4 hours and 20 minutes and arrived in Millersburg at 11:50 A.M.

A train left Lamar's town and traveled for 55 minutes to Danville. Then it traveled 4 hours and 20 minutes and arrived in Millersburg at 11:50 A.M. What time did the train leave Lamar's town?

It travelled 55 + 20 minutes + 4 hours= 75 minutes + 4 hours

= 60 minutes+ 15 minutes +4 hours

= 5 hours and 15 minutes rolling on the rails

then,

(11 hours and 50 min) - (5 hours and 15 min)

= 6 hours and 35 min past midnight