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?

Question

Mathematics

Mikaela

30 May, 20:53

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?

+4

Answers (1)

Know the Answer?

Pinkie · Answer 1

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