Question

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

Answer 1

2/20-w=3/20+w
40+2w=60-3w
5w=20
w=4mph

Answer 2

Hint: let w=speed of wind in mph. Then 2/(20-w)=3/(20+w). Cross multiply and solve for w.