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Manuel traveled 3 hours nonstop to​ mexico, a total of 106 miles. he took a train part of the​ way, which averaged 40​mph, and then took a bus the remaining​ distance, which averaged 30mph. how long was manuel on the​ train?

2 Answers

1 vote

Final answer:

Manuel was on the train for 1.6 hours, or 1 hour and 36 minutes.

Step-by-step explanation:

To find out how long Manuel was on the train, we need to first calculate the distance he traveled on the train. Since the total distance Manuel traveled was 106 miles and the train traveled at an average speed of 40 mph, we can use the formula Distance = Speed x Time to find the time it took for the train journey.

Let's assume the time Manuel spent on the train is 't' hours. The distance covered by the train is 40t miles. Since the total distance traveled by Manuel is 106 miles, the distance covered by the bus is 106 - 40t miles.

Now, to find out how long Manuel was on the train, we can substitute the distance for the train and bus journeys into the formula and solve for 't':

40t + 30(3 - t) = 106

40t + 90 - 30t = 106

10t + 90 = 106

10t = 16

t = 1.6

Therefore, Manuel was on the train for 1.6 hours, or 1 hour and 36 minutes.

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