Alex gets to work by biking to the train station, riding the train, then walking. His entire trip to work is 15 miles. If he bikes 1/3 of the way and walks 1/5 of the way, how many miles did he travel on the train?
1/5 of 15 miles is 3 miles
bike+walk = 1/3 + 1/5 = 8/15
the remaining 7/15 was done by train.
7/15 * 15 = 7 miles by train
Or, you can say
1/3 * 15 = 5 miles biked
1/5 * 15 = 3 miles walked
15-8 = 7 miles by train
To find out how many miles Alex traveled on the train, we need to subtract the distance he biked and walked from the total distance of his trip.
Let's start by finding the distance Alex biked. We know that he bikes 1/3 of the way, and the total distance is 15 miles. So, the distance he biked is:
Distance biked = (1/3) * 15 miles
= (1/3) * 15 miles
= 5 miles
Next, let's find the distance Alex walked. We know that he walked 1/5 of the way, and the total distance is 15 miles. So, the distance he walked is:
Distance walked = (1/5) * 15 miles
= (1/5) * 15 miles
= 3 miles
Now, we can determine the distance Alex traveled on the train. To do this, we subtract the distance he biked and the distance he walked from the total distance:
Distance on train = Total distance - Distance biked - Distance walked
= 15 miles - 5 miles - 3 miles
= 7 miles
Therefore, Alex traveled 7 miles on the train.