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Solve the all given parts of following question:

Question: A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 110m/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, 75.0 m downstream from B.

Part A: Where on the north shore will you land if you point your boat perpendicular to the water current?

Part B: What distance will you have traveled?

Part C: If you initially aim your boat directly toward point C and do not change that bearing relative to the shore, where on the north shore will you land?

Part D: To reach point C at what bearing must you aim your boat?

Part E: How long will it take to cross the river?

Please give a full detailed explanation of solution for above questions.

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