Question

Manuel traveled 7 hours nonstop to​ Mexico, a total of 302 miles. He took a train part of the​ way, which averaged 60​mph, and then took a bus the remaining​ distance, which averaged 40 mph. How long was Manuel on the​ train?

Answer 1

Answer:

x  =  1,1 h   time traveling by train and he traveled  66 miles

Manuel was 5.9 hours traveling by bus  and  236 miles

Step-by-step explanation:

Let call  " x " time in hours traveling by train, and " y " time travellng by bus, then

y = 7 - x        is time traveling by bus

According to the average speed of both  (train and bus) we can formulate the following equation

60*x + 40 * ( 7 - x )  = 302

solving for x

60*x  +  280  - 40*x  =  302

20*x  =  302  - 280    ⇒   20*x  =  22    ⇒   x = 22/20

x  =  1,1 h   time traveling by train and he traveled  66 miles

Then   y  =  7 - x    ⇒   y  = 7 - 1.1      ⇒  y  = 5.9 h

Manuel was 5.9 hours traveling by bus  and  236 miles