Lupe can ride her bike at a rate of 20 mph when there is no wind. on one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. how fast was the wind blowing that day?

Time = 3 miles / (20 mph - wind velocity)
time = 2 miles / (20 mph + wind velocity)

3 miles / (20 mph + wind velocity) = 2 miles / (20 mph - wind velocity)

3/2 =  (20 mph + wind velocity) / (20 mph - wind velocity)

1.5 =  (20 mph + wv) / (20 mph -wv)

30 mph -1.5wv = 20 mph -wv

10 mph = 2.5 wv

wind velocity = 4 mph

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