A coach asked Tara and Emek to evaluate results from several endurance training sessions before the next competition. Rather than comparing only total distance covered, they calculated each athlete's average distance per minute and examined recovery ratios based on heart rate measurements after exercise. Some athletes who ran farther overall had lower average pace or slower recovery, while others performed more efficiently across both measures. By interpreting these ratios together, Tara and Emek identified each athlete's strengths and weaknesses. Their analysis helped the coach adjust training plans so the entire team could improve endurance more effectively.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Divide each athlete's distance by the number of minutes.
Athlete A covered 9 kilometers in 45 minutes. Athlete B covered 10 kilometers in 55 minutes. Based on average distance per minute, which athlete performed more efficiently?
They had the same average distance per minute.Athlete BAthlete AThe averages cannot be compared.Correct! Athlete A covered more distance per minute.
Calculate and compare both unit rates before choosing.
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Hint
Divide 120 by 180, multiply by 100, and round to the nearest whole percent.
An athlete's heart rate was 180 beats per minute immediately after exercise and 120 beats per minute after recovery. If the recovery ratio is defined as recovered heart rate divided by initial heart rate, what is this ratio as a percentage?
Correct! The recovery ratio is about 67%.
Form the ratio 120/180, convert it to a percentage, and round.
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Hint
Use both the average pace and the meaning of the recovery ratio.
Athlete X covered more total distance than Athlete Y. However, Athlete Y had a higher average distance per minute and a lower recovery ratio, where a lower recovery ratio means the heart rate returned closer to its resting level. Which conclusion best matches Tara and Emek's method?
Athlete Y may be more efficient overall because both pace and recovery should be considered.Athlete X must be better because total distance is the only useful measure.Athlete Y must be worse because a lower ratio is always worse.The athletes cannot be compared using rates or ratios.Correct! Athlete Y performs better on both efficiency measures.
Interpret each ratio in context instead of relying only on total distance.
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