Originally Posted by GTcommuter
Off the top of my head...a^2 + b^2 = c^2
a= 1
b=x
c=1.5
1^2 + x^2 = 1.5^2 => x^2 = 2.25 - 1 => x = Sqrt(1.25)
So our simmer would end up about 1.118 miles downstream?
Overly complex. Assuming the swim speed is 100% in the direction from one bank to the other, it takes them 1m / 2 m/h = 1/2 hour to swim across. In that time, the current will carry them 3m/h * 1/2h = 1.5 miles downstream. They will reach the shore 1.5 miles downstream from a spot directly across from the spot they started in.