Question

question 3 of 6
the word problem below has too little information. read carefully, then choose the fact or facts needed to solve the problem.
carl rode a horse about 15 feet from the center of the carousel. allison rode a horse about 10 feet from the center. how much further did carls horse travel in one complete turn of the carousel?
□ a. carls horse travels 90 feet in one turn.
□ b. horses near the center are the slowest.
□ c. allisons horse travels 60 feet in one turn.
□ d. horses on the outside edge are the fastest.

Explanation:

Step1: Recall the formula for circumference

The distance a horse travels in one - turn of a carousel is the circumference of the circle it moves in. The formula for the circumference of a circle is $C = 2\pi r$. We know Carl's $r_{1}=15$ feet and Allison's $r_{2}=10$ feet. To find how much further Carl's horse travels, we need to find $C_{1}-C_{2}$. If we know $C_{1}$ and $C_{2}$, we can find the difference.

Step2: Analyze the options

We need to know the distance each horse travels in one turn. Option A gives the distance Carl's horse travels in one turn and option C gives the distance Allison's horse travels in one turn. These are the facts needed to solve the problem. Options B and D are about the speed of the horses which is not relevant to finding the difference in the distances they travel in one turn.

Answer:

A. Carl's horse travels 90 feet in one turn, C. Allison's horse travels 60 feet in one turn.