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MathNet 2013 Question 60

Math Olympiad Vault · MathNet 2013

Question 60

A train departed from the station 12 minutes later than planned. If the train would not make any stops on the way and would travel at average speed equal to what would be the average speed between stops according to the timetable, then it would reach the destination exactly at the right time. But if the train would stop in every station for the same amount of time it was supposed to, then between the station it would have to travel with average speed 40% higher than before in order to reach the destination on time. Find the travelling time of the train according to the timetable.

*Answer:* 54 minutes.