A 400m wide river flows from west to east at 30 m/min. Your boat moves at 100 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C 75 m downstream from B.
So, I would like to know
a) Where on the north shore will you land if you point your boat perpendicular to the water current and what distance you'll have traveled. I know disctance means solving for "x," but I'm still not sure how to set it up.
b) If you initially aim you boat towards point C and do not change that bearing relative to the shore, where on the north shore will you land?