Answer: he was on the train for 22 hours.
Step-by-step explanation:
Let t represent the time that Manuel spent on the train to Mexico.
Manuel traveled 31 hours nonstop to Mexico. This means that the time he spent on the bus is (31 - t) hours
Distance = speed × time
He took a train part of the way, which averaged 80 mph. This means that the distance he traveled on the train is 80t
Then, he took a bus the remaining distance, which averaged 60 mph. This means that the distance he traveled on the train is 60(31 - t)
Since the total distance covered is 2300 miles, it means that
80t + 60(31 - t) = 2300
80t + 1860 - 60t = 2300
80t - 60t = 2300 - 1860
20t = 440
t = 440/20
t = 22
