Question

christine is on the school swim team. yesterday, she spent 30 minutes practicing her freestyle stroke. during that time, she completed 40 laps in the pool. what is christines swimming speed? \\(\frac{3}{4}\\) of a lap per minute 1 lap per minute \\(1\frac{1}{3}\\) laps per minute 3 laps per minute

Explanation:

Step1: Recall speed formula

Speed (in laps per minute) is calculated as the number of laps divided by the time in minutes. So the formula is \( \text{Speed} = \frac{\text{Number of laps}}{\text{Time (minutes)}} \).

Step2: Substitute values

We know the number of laps is 40 and the time is 30 minutes. Substituting these values into the formula, we get \( \text{Speed} = \frac{40}{30} \).

Step3: Simplify the fraction

Simplify \( \frac{40}{30} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 10. So \( \frac{40\div10}{30\div10}=\frac{4}{3} \), and \( \frac{4}{3} = 1\frac{1}{3} \).

Answer:

\( 1\frac{1}{3} \) laps per minute