Xóchitl, who has already warmed up, immediately starts to pedal at a rate of 18(km)/(h) on a stationary bike. She sees that her friend Cowessess has already pedaled 12 minutes at an average rate of 10(km)/(h). Assuming Cowessess's rate stays the same, how long would Xóchitl have to pedal to catch up to Cowessess's distance? minutes

Question

Xóchitl, who has already warmed up, immediately starts to pedal at a rate of  18(km)/(h) on a stationary bike. She sees that her friend Cowessess has already pedaled 12 minutes at an average rate of  10(km)/(h). Assuming Cowessess's rate stays the same, how long would Xóchitl have to pedal to catch up to Cowessess's distance? minutes

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Question Prompt: Question prompt: How long, in minutes, must Xóchitl pedal at a rate of 18 km/h to catch up to Cowessess's distance, who has already pedaled for 12 minutes at a rate of 10 km/h?Calculate Cowessess's Distance: Calculate the distance Cowessess has already covered. Cowessess's rate = 10 km/h Cowessess's time = 12 minutes = 12/60 hours (since there are 60 minutes in an hour) Distance = Rate × Time Distance Cowessess has covered = 10 km/h × (12/60) hCalculate Xóchitl's Time: Perform the calculation for Cowessess's distance. Distance Cowessess has covered = 10 km/h × 0.2 h Distance Cowessess has covered = 2 kmCalculate Xóchitl's Time in Minutes: Determine how long it will take Xóchitl to cover the same distance. Xóchitl's rate = 18 km/h Distance Xóchitl needs to cover = Distance Cowessess has covered = 2 km Time = Distance / Rate Time Xóchitl needs = 2 km / 18 km/hConvert Time to Minutes: Perform the calculation for Xóchitl's time. Time Xóchitl needs = 2 km / 18 km/h Time Xóchitl needs = 1/9 hoursCalculate Time in Minutes: Convert Xóchitl's time from hours to minutes. Time in minutes = Time in hours × 60 minutes/hour Time Xóchitl needs in minutes = (1/9) h × 60 minutes/hourRound Time to Nearest Minute: Perform the calculation to find the time in minutes. Time Xóchitl needs in minutes = (1/9) h × 60 minutes/hour Time Xóchitl needs in minutes = 60/9 minutes Time Xóchitl needs in minutes = 6.666... minutesRound the time to a value that makes sense in the context of the problem. Since we cannot have a fraction of a minute in this context, we can round the time to the nearest whole minute. Time Xóchitl needs in minutes = 7 minutes (rounded up from 6.666... minutes)

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