Question
at point pleasant park, the advanced trail is 3.6 times as long as the medium trail, and the medium trail is 1.2 times as long as the beginner's trail. how many times as long as the beginner's trail is the advanced trail? write your answer as a decimal
Answers
GPT-4o mini
Let the length of the beginner's trail be \( x \).
According to the problem:
1. The medium trail is \( 1.2 \) times the length of the beginner's trail. So, the length of the medium trail is:
\[
1.2x
\]
2. The advanced trail is \( 3.6 \) times the length of the medium trail. Thus, the length of the advanced trail is:
\[
3.6 \times (1.2x) = 4.32x
\]
Now we want to find out how many times as long as the beginner's trail the advanced trail is. To do this, we need to express the length of the advanced trail in terms of the length of the beginner's trail:
The length of the advanced trail is \( 4.32x \).
Therefore, the advanced trail is \( 4.32 \) times as long as the beginner's trail.
In decimal form, the answer is:
\[
\boxed{4.32}
\]
According to the problem:
1. The medium trail is \( 1.2 \) times the length of the beginner's trail. So, the length of the medium trail is:
\[
1.2x
\]
2. The advanced trail is \( 3.6 \) times the length of the medium trail. Thus, the length of the advanced trail is:
\[
3.6 \times (1.2x) = 4.32x
\]
Now we want to find out how many times as long as the beginner's trail the advanced trail is. To do this, we need to express the length of the advanced trail in terms of the length of the beginner's trail:
The length of the advanced trail is \( 4.32x \).
Therefore, the advanced trail is \( 4.32 \) times as long as the beginner's trail.
In decimal form, the answer is:
\[
\boxed{4.32}
\]