Problem D

Unusually Late

Every day, a train makes a trip from Alphatown to Betatown. Although the train is rarely late, on two different trips the train was late. On the first trip, when the train was travelling at an average speed of \(56\) km/h, the train was \(27\) minutes late. For the second trip, the train was travelling at an average speed of \(54\) km/h and was \(42\) minutes late. What is the distance between Alphatown and Betatown?