Alex is training for a marathon and runs a specific training route every day. The route consists of running 3/5 of a mile on a flat road and 1/4 of a mile up a hill. After reaching the top, he runs the same 1/4 mile back down the hill and then finishes by running another 3/5 of a mile back to his starting point. How many miles does Alex run in total for one training session? Let's think step by step and output the final answer within \boxed{}.
user