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?

Question

Meadow Bright

Mathematics

11 September, 19:41

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?

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Agustin Lutz · Answer 1

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