Unicycling. In 2005, Ken Looi of New Zealand set a
record by covering 235.3 mi in 24 hr on his unicycle.
After 8 hr, he was approximately twice as far from
the finish line as he was from the start. How far had
he traveled?
To solve this problem, let's break it down step by step:
Step 1: Let's assume that the total distance Ken Looi traveled is represented by "d" miles.
Step 2: After 8 hours, Ken Looi covered a certain distance, let's call it "x" miles. Therefore, the remaining distance from the finish line would be (d - x) miles.
Step 3: According to the problem, after 8 hours, Ken Looi was approximately twice as far from the finish line as he was from the start. Mathematically, this can be expressed as: (d - x) = 2x
Step 4: Now, we can solve the equation from step 3 to find the value of "x".
(d - x) = 2x
d - x = 2x
d = 3x
Step 5: We know that at the end of 24 hours, Ken Looi covered a total distance of 235.3 miles. Therefore, we can set up another equation:
x + 16x = 235.3
17x = 235.3
x = 13.843
Step 6: Finally, we can substitute the value of "x" back into the equation from step 4 to find the total distance traveled:
d = 3x
d = 3(13.843)
d ≈ 41.529
Thus, Ken Looi traveled approximately 41.529 miles.