Manuel traveled 8 hours nonstop to mexico,

Question

Manuel traveled 8 hours nonstop to mexico, a total of 416 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?

Answer 1

Amy, we know that distance equals rate x time. The total distance traveled is 416 miles. We are given the rates of both the train and the bus. They are 70 and 30 mph, respectively. Manuel traveled non-stop for 8 hours. If x represents the portion of the trip traveled by train, then (8 - x) represents the amount of time traveled on the bus. We can set up the following equation:

 

Total distance traveled = (rate of train x amount of time on train) + (rate of bus x amount of time on bus)

 

416 = 70x + 30(8 - x)

 

Solve this linear equation for x, which will give you the amount of time spent on the train.

 

Do you understand this?