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A certain river is 0.5 mi wide, and flows due east at 2.7 mi/h relative to...

A certain river is 0.5 mi wide, and flows due east at 2.7 mi/h relative to the shore. A boat attempts to cross the river straight from one shore to the other. If the boat travels due north at 1.7 mi/h relative to the river,

(a) what is the speed of the boat relative to the shore?

(b) how far downstream is the boat when it reaches the opposite shore?

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