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A boat on a river travels 24 km upstream in 4 hours. The return trip downstream takes only 3 hours. You may assume the speed

A boat on a river travels 24 km upstream in 4 hours. The return trip downstream takes only 3

hours. You may assume the speed of the current in the river is constant throughout the trip.

(a) Write down the simultaneous equations that describe this situation mathematically, clearly defining any variables used.

(b) Determine the speed of the boat in still water (i.e. without a current).

(c) Determine the speed of the current.

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