Final answer:
Israel Rojos traveled a total of 1 mile after adding distances traveled on different parts of the trail, which sums up to 15/15 or 1 mile.
Step-by-step explanation:
The question involves calculating the total distance traveled by Israel Rojos on the trail. Israel started on a path for 7/15 mile, then went up a hill for 1/3 mile before coasting down the other side of the hill for 1/5 mile.
To find the total distance, we need to add all these distances together:
- Path: 7/15 mile
- Hill ascent: 1/3 mile
- Hill descent: 1/5 mile
We can convert these to have a common denominator (in this case, 15, because it is the least common multiple of 3 and 5):
- Path: 7/15 mile (unchanged)
- Hill ascent: 1/3 mile = 5/15 mile (multiplying by 5/5)
- Hill descent: 1/5 mile = 3/15 mile (multiplying by 3/3)
Now we can add them up:
7/15 + 5/15 + 3/15 = 15/15, which equals 1 mile.
Therefore, the total distance traveled by Israel Rojos is 1 mile, which corresponds to option A.