Question
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 what is the distance in miles between the start and end of the trial
Answers
GPT 3.5
Let's assign a variable to the total distance between the start and end of the trail. Let's call it "x" miles.
According to the information provided, Rachel had hiked 2/3 of the way from the Sun to the end of the trail when she stopped to have a snack. This means that she had hiked 2/3 of the total distance, or (2/3)x miles.
After having a snack, she hiked an additional 3 1/2 miles. We can represent this as 3 1/2, which is equal to 7/2 in improper fraction form.
Therefore, the total distance traveled by Rachel can be represented by the equation:
(2/3)x + 7/2 = x
To solve for "x", we need to find a common denominator for the fractions and then solve for "x".
Multiplying both sides of the equation by 6 (the least common multiple of 3 and 2) gives us:
2(2x) + 7(3) = 6x
4x + 21 = 6x
Subtracting 4x from both sides of the equation, we get:
21 = 2x
Dividing both sides of the equation by 2 gives us:
x = 10.5
Therefore, the distance between the start and end of the trail is 10.5 miles.
According to the information provided, Rachel had hiked 2/3 of the way from the Sun to the end of the trail when she stopped to have a snack. This means that she had hiked 2/3 of the total distance, or (2/3)x miles.
After having a snack, she hiked an additional 3 1/2 miles. We can represent this as 3 1/2, which is equal to 7/2 in improper fraction form.
Therefore, the total distance traveled by Rachel can be represented by the equation:
(2/3)x + 7/2 = x
To solve for "x", we need to find a common denominator for the fractions and then solve for "x".
Multiplying both sides of the equation by 6 (the least common multiple of 3 and 2) gives us:
2(2x) + 7(3) = 6x
4x + 21 = 6x
Subtracting 4x from both sides of the equation, we get:
21 = 2x
Dividing both sides of the equation by 2 gives us:
x = 10.5
Therefore, the distance between the start and end of the trail is 10.5 miles.