Manuel traveled 6 hours nonstop to Mexico a total of 376 mil

Manuel traveled 6 hours nonstop to Mexico, a total of 376 miles. He took a train part of the way, which averaged 70mph, and then took a bus the remaining distance, which averaged 60mph. How long was Manuel on the train? The time spent traveling on the train was hour(s).

Solution

let the time taken on train be t hour
distance travelled by train = 70*t miles
then time taken on bus = (6-t)hour
distance by bus = 60*(6-t)

total distance = 70*t + 60*(6-t) = 376
70*t + 360 - 60*t = 376
10*t = 16
t = 1.6 hour
Answer: 1.6 hour