# Struggling to swim

Noah wants to swim across a river $$10~\mbox{m}$$ wide, flowing from north to south. He swims so his velocity with respect to the river is $$2~\mbox{m/s}$$ due east, and the river moves at $$4~\mbox{m/s}$$. How far downstream in m from his starting point will he reach the other side?

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