Subjects algebra

Swimming Rates

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1. **State the problem:** Elena swam 14 laps in 10 minutes, and Ava swam 28 laps in 35 minutes. We need to find Elena's swimming rate in laps per minute and Ava's time per lap in minutes. 2. **Formulas and rules:** - Rate is calculated as $$\text{Rate} = \frac{\text{Total laps}}{\text{Total time}}$$. - Time per lap is calculated as $$\text{Time per lap} = \frac{\text{Total time}}{\text{Total laps}}$$. 3. **Calculate Elena's rate:** $$\text{Elena's rate} = \frac{14 \text{ laps}}{10 \text{ minutes}} = 1.4 \text{ laps per minute}$$. 4. **Calculate Ava's time per lap:** $$\text{Ava's time per lap} = \frac{35 \text{ minutes}}{28 \text{ laps}} = 1.25 \text{ minutes per lap}$$. 5. **Interpretation:** Elena swims 1.4 laps every minute, meaning she is faster in terms of laps per minute. Ava takes 1.25 minutes to swim each lap, which is the time it takes her to complete one lap. **Final answers:** - Elena swam at a rate of 1.4 laps per minute. - Ava swam each lap in 1.25 minutes.