SOLUTION: a boat travels 25 miles upstream in 5 hours doing downstream it can travel 65 miles in the same amount of time. Find the speed of the current and the speed of the boat in still wat
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Question 995323: a boat travels 25 miles upstream in 5 hours doing downstream it can travel 65 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water Answer by solver91311(24713) (Show Source):
Let represent the speed of the boat in still water and let represent the speed of the current.
When the boat is going upstream, it is travelling at with respect to the shoreline. When it is going downstream it is travelling at with respect to the shoreline.
Since distance equals rate times time,
describes the upstream trip and
describes the downstream trip.
Solve the 2X2 system of equations for and . Hint, divide both sides of each equation by 5 and then solve by elimination.
John
My calculator said it, I believe it, that settles it
