The total length of the advanced jump hill is 357 feet longer than the total length of the beginner jump hill.
To find how much longer the total length of the ski jump hill for an advanced jump is than a beginner jump, we need to answer the following hidden questions and assign variables to them:
1. What is the distance of the advanced jump?
Let's assign the variable "A" to represent the distance of the advanced jump. According to the information given, the advanced jump distance is 408 feet.
2. What is the distance of the beginner jump?
Let's assign the variable "B" to represent the distance of the beginner jump. The total length of a beginner jump hill is three times the beginner jump distance.
3. What is the distance of the run afterward for the beginner jump?
Let's assign the variable "R" to represent the distance of the run afterward for the beginner jump. According to the information given, the advanced jump distance plus the run afterward is eight times the beginner jump distance.
Now, let's solve the problem:
From the information given, we can set up the following equations:
B = 3B
A + R = 8B
Since we are looking to find the difference in total length, we need to find the total length of each jump.
Total length of beginner jump hill = B + R
Total length of advanced jump hill = A
To find the difference in total length, we subtract the total length of the beginner jump hill from the total length of the advanced jump hill:
Difference in total length = (A) - (B + R)
Substituting the given information into the equations, we have:
Difference in total length = (408) - (3B + (408/8))
Simplifying the equation, we find:
Difference in total length = 408 - (3B + 51)
Therefore, the difference in total length between the advanced jump and the beginner jump is 357 feet.