During a preseason athletics camp, Tara and Emek recorded the results of runners completing different training distances. One runner covered 1.8 kilometers in 9 minutes, another ran 2.4 kilometers in 12 minutes, and a third finished 2.1 kilometers in 10 minutes. Instead of comparing the raw times, they calculated each runner's unit rate in kilometers per minute. After comparing the rates, they identified the strongest performers and organized balanced relay teams. Their careful calculations helped every team begin the tournament with a fair and competitive lineup.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Calculate kilometers per minute for each runner before comparing.
Which runner had the greatest unit rate in kilometers per minute?
The runner who covered 1.8 km in 9 minutesThe runner who covered 2.4 km in 12 minutesThe runner who covered 2.1 km in 10 minutesAll three runners had the same unit rateCorrect! The third runner had the greatest unit rate.
Try again. Divide each distance by its time and compare the results.
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Hint
Convert kilometers to meters first, then divide by the time.
The second runner covered 2.4 kilometers in 12 minutes. What was the runner's unit rate in meters per minute?
Correct! The runner's unit rate was 200 meters per minute.
Try again. Convert 2.4 km to meters before dividing by 12.
Next🎉 Congrats! You got this question!
Hint
Find the unit rate for both runners and compare them.
Tara says the first and second runners were equally fast because both had the same unit rate. Is Tara correct?
Yes, both ran at 0.2 km per minute.No, the first runner was faster.No, the second runner was faster.No, there is not enough information.Correct! Both runners had a unit rate of 0.2 km per minute.
Try again. Compute both unit rates before deciding.
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🎉 Congrats! You finished this challenge set!
