Question

The eastern continental trail is 15 times longer than the Erie Canalway trail. The combined length of the hiking trail is 5,760 miles. What is the length of each hiking trail?

Answer 1

the Erie Canalway Trail is 360 miles long, and the Eastern Continental Trail is 5,400 miles long.

Step-by-step explanation:

The Erie Canalway Trail is 360 miles long, and the Eastern Continental Trail is 5,400 miles long. We derived these lengths by setting up and solving an algebraic equation based on the relationship that the length of the Eastern Continental Trail is 15 times longer than the Erie Canalway Trail, with their combined length totaling 5,760 miles.

To find the length of the Eastern Continental Trail and the Erie Canalway Trail, we can set up the following algebraic equation based on the information given that the Eastern Continental Trail is 15 times longer than the Erie Canalway Trail and their combined length is 5,760 miles:

Let E represent the length of the Erie Canalway Trail, then the length of the Eastern Continental Trail is 15E. The combined length is E + 15E = 5,760 miles. Solving for E, we get:

1. 1E + 15E = 5,760
2. 16E = 5,760
3. E = 5,760 / 16
4. E = 360 miles

Now that we know the length of the Erie Canalway Trail (E), we can calculate the length of the Eastern Continental Trail by multiplying E by 15:

1. 15E = 15 × 360
2. 15E = 5,400 miles

Therefore, the Erie Canalway Trail is 360 miles long, and the Eastern Continental Trail is 5,400 miles long.