Rachel had high 2/3 of the way from the Sun to the end of the trail when she stopped to have a snack she had hiked 3 1/2
miles.
To solve this problem, we need to break it down into steps:
Step 1: Find out how far Rachel hike from the Sun to the end of the trail.
Let's call the distance from the Sun to the end of the trail "x".
Step 2: Find out how far Rachel hiked before she stopped for a snack.
According to the problem, Rachel had hiked 2/3 of the way from the Sun to the end of the trail. Therefore, she hiked 2/3 * x.
Step 3: Find out how far Rachel hiked after she stopped for a snack.
According to the problem, Rachel hiked an additional 3 1/2 after having the snack. Therefore, she hiked 3 1/2 or 7/2 more units.
Step 4: Calculate the total distance Rachel hiked.
The total distance Rachel hiked is the sum of the distance she hiked before and after her snack. Therefore, the total distance is:
2/3 * x + 7/2
And that's the solution! The total distance Rachel hiked is 2/3 * x + 7/2.
To solve this problem, we need to break it down into smaller steps:
Step 1: Determine the total distance of the trail.
In the problem statement, we are given that Rachel had hiked "2/3 of the way from the Sun to the end of the trail" before stopping. Let's call the total distance of the trail "x".
Step 2: Calculate the distance Rachel had hiked before stopping.
Since Rachel had hiked 2/3 of the way, we can express this as a fraction of the total distance:
2/3 * x = distance Rachel had hiked
Step 3: Calculate the distance Rachel had left to hike after stopping.
The distance Rachel had left to hike after stopping is the remaining 1/3 of the total distance:
1/3 * x = distance Rachel had left to hike
Step 4: Calculate the distance Rachel hiked after stopping.
We are given that Rachel had hiked an additional distance of 3 1/2 units after stopping. To express this as a fraction, we can convert 3 1/2 to an improper fraction:
3 1/2 = 7/2
Step 5: Combine the distances to find the total distance Rachel hiked.
The total distance Rachel hiked can be calculated by adding the distance hiked before stopping and the distance hiked after stopping:
distance Rachel hiked = distance hiked before stopping + distance hiked after stopping
Now, let's calculate the total distance hiked by Rachel:
Total distance Rachel hiked = (2/3 * x) + (7/2)
Please note that we need to have the value of "x" to calculate the exact distance.