Question

question 3
john ran \\(\frac{1}{2}\\) mile in 5 minutes, and al ran \\(\frac{1}{3}\\) mile in 4 minutes. which runner ran at a faster rate?
question 3 options:
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Explanation:

Step1: Calculate John's rate

Rate is distance divided by time. John's distance is $\frac{1}{2}$ mile and time is 5 minutes. So his rate is $\frac{\frac{1}{2}}{5}=\frac{1}{2}\times\frac{1}{5}=\frac{1}{10}=0.1$ miles per minute.

Step2: Calculate Al's rate

Al's distance is $\frac{1}{3}$ mile and time is 4 minutes. His rate is $\frac{\frac{1}{3}}{4}=\frac{1}{3}\times\frac{1}{4}=\frac{1}{12}\approx0.0833$ miles per minute.

Step3: Compare the rates

John's rate is 0.1 miles per minute and Al's rate is approximately 0.0833 miles per minute. Since 0.1 > 0.0833, John ran at a faster rate.

Answer:

John (assuming the options are John or Al; since the options weren't fully visible but based on calculation, John is faster)