# Relative Velocity Problem

A boat is traveling 3 m/s relative to the water due north. A current is flowing 4 m/s due east. What is the velocity of the boat relative to the earth? The length of the river is 1000 m. Ok so I used pythogorean theorem and got 5 m/s. Then how would you find the time it takes for the boat to travel the 1000 m? Would it be 3t = 1000, and $t = 333 sec$? This is because you are only looking at the y-component? You couldnt do 5t = 1000?

Thanks