As Tara and Emek prepared for a cross-country cycling event, they studied results from practice rides over different course lengths. One rider completed 18 kilometers in 45 minutes, another rode 25 kilometers in 50 minutes, and a third finished 16 kilometers in 40 minutes. They calculated each rider's unit rate in kilometers per minute to compare the performances fairly. Using those results, they matched riders with the best pacing strategy for each relay section. Their careful planning helped the team maintain a steady speed and finish the race successfully.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Find each rider's distance divided by time, then compare the unit rates.
Which rider had the greatest unit rate in kilometers per minute?
The rider who completed 18 km in 45 minutesThe rider who completed 25 km in 50 minutesThe rider who completed 16 km in 40 minutesThe first and second riders had the same unit rateCorrect! The second rider had the greatest unit rate.
Check each rider's kilometers per minute before comparing.
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Hint
First find the rider's kilometers per minute, then multiply by 60.
The second rider continued at the same unit rate for 60 minutes. How many kilometers would the rider travel?
Correct! The rider would travel 30 kilometers.
Find the unit rate first, then multiply by the total time.
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Hint
Compare the unit rates of all three riders before choosing.
Tara wants to assign the fastest rider to the longest relay section. Which rider should she choose?
The rider who completed 18 km in 45 minutesThe rider who completed 16 km in 40 minutesThe rider who completed 25 km in 50 minutesAny rider, because they all have the same unit rateCorrect! The rider who completed 25 km in 50 minutes had the highest unit rate.
Recalculate the unit rates and identify the greatest one.
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