The team with the greater unit rate paints more square meters per h \( 2.5>2 \) The Blue Team paines faster. Show how to solve the problem in the Example by comparing the hours per square meter.
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To determine which team paints faster, we can convert their rates into hours per square meter. For the Blue Team, if they paint 2.5 square meters in one hour, it means it takes them \( \frac{1}{2.5} = 0.4 \) hours to paint one square meter. Meanwhile, the Red Team paints 2 square meters in one hour, which translates to \( \frac{1}{2} = 0.5 \) hours per square meter. Since 0.4 hours (Blue Team) is less than 0.5 hours (Red Team), the Blue Team indeed paints faster! When solving problems like this, ensure you're comparing the same units. Always convert rates into a common format, like hours per square meter or square meters per hour. Beginners often forget to perform this conversion, leading to inaccurate conclusions about efficiency. Keep an eye on your units for a smooth sailing through rate comparison!