Two trains leave stations 182 miles apart at the same time and travel toward each other. one train travels at 55 miles per hour while the other travels at 75 miles per hour. how long will it take for the two trains to meet?

Distance between the two stations from where the two trains leave = 182 miles
Speed of one train (S1) = 55 miles/hour
Speed of the other train = 75 miles/hour
Now
Time taken by the two trains to meet = Distance/(S1 + S2)
                                                           = 182/(55 + 75)
                                                           = 182/130
                                                           = 1.4 hours
From the above deduction, it can be concluded that the two trains will meet each other after 1.4 hours. I hope that the procedure is simple enough for you to understand.