Bernie is showing Margaret his new boat and its auto-navigation feature, of which he is particularly proud. "The island is 1 km east and 3 km north of this dock. So I just punch the numbers like this, and we get ourselves refreshment and enjoy the scenery." 45 min later, they find themselves due east of the island. "OK, something went wrong. I just reverse the instructions, and we'll go back to the dock and try again." But 45 min later the boat is 6 km east of their original position at the dock. "Did you allow for the current?" asks Margaret. "For what?" says Bernie. 1) What is the velocity of the current in the waterway where Margaret and Bernie are boating? 2) What is the velocity of the boat relative to the water, for the first 45 min? 3) What is the velocity of the boat relative to the island for the first 45 min? It seems easy at first, but the current is giving me trouble. I used pythagoras to find the distance of 3.16km to the island if there was no current but am having trouble calculating the current out of that. Please help!