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2015 CEMC Gauss (Grade 8) Problems/Problem 12

Revision as of 14:13, 13 October 2025 by Anabel.disher (talk | contribs) (Created page with "== Problem== Zara's bicycle tire has a circumference of <math>1.5</math>m. If Zara travels <math>900</math>m on her bike, how many full rotations will her tire make? <math> \...")
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Problem

Zara's bicycle tire has a circumference of $1.5$m. If Zara travels $900$m on her bike, how many full rotations will her tire make?

$\textbf{(A)}\ 900 \qquad\textbf{(B)}\ 1350 \qquad\textbf{(C)}\ 600 \qquad\textbf{(D)}\ 450 \qquad\textbf{(E)}\ 1200$

Solution 1

We can first break down what the problem is asking for. Since the circumference is $1.5$ m, each full rotation will be $1.5$ m.

Thus, we can divide the distance that Zara travels on her bike by the meters in each full rotation:

$900 \div 1.5 = 900 \div \frac{3}{2} = 900 \times \frac{2}{3} = \boxed {\textbf {(C) } 600}$

~anabel.disher

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