How long was Manuel on the​ train?

Question

Manuel traveled 8 hours nonstop to​ Mexico, a total of 508 miles.He took a train part of the​ way, which averaged 70mph, ​and then took a bus the remaining distance, which averaged 30mph. How long was Manuel on the​ train?

The time spent traveling on the train was __ hour (s)

Answer 1

8 = T_train + T_bus ==> T_bus = 8 - T_train

We plug this into the 2^nd equation below.

Distance = 508 = 70T_train + 30T_bus

508 = 70T_train + 30( 8 - T_train)

508 = 240 + 40T_train

268 = 40T_train where T_train = 268/40 = 6.7 hrs