Problem

Carl keeps in shape by cycling. He bikes 9 miles every $\frac{3}{4}$ hour. How far will Carl ride in 1 hour?

Answer

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Answer

Final Answer: Carl will ride \(\boxed{12}\) miles in 1 hour.

Steps

Step 1 :Given that Carl bikes 9 miles every 3/4 hour, we can find the distance he rides in 1 hour by setting up a proportion and solving for the unknown.

Step 2 :The proportion would be \(\frac{9 \text{ miles}}{\frac{3}{4} \text{ hour}} = \frac{x \text{ miles}}{1 \text{ hour}}\).

Step 3 :Solving for x will give us the distance Carl rides in 1 hour.

Step 4 :\(x = \frac{9 \text{ miles}}{\frac{3}{4} \text{ hour}} = 12 \text{ miles}\)

Step 5 :Final Answer: Carl will ride \(\boxed{12}\) miles in 1 hour.

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