SOLUTION: A boat leaves Pt A and travels up-river for 3 hours to Pt B. On the return trip, it only takes 2 hours. If the boat travels at the same constant speed relative to the current, ho

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Question 755356: A boat leaves Pt A and travels up-river for 3 hours to Pt B. On the return trip, it only takes 2 hours. If the boat travels at the same constant speed relative to the current, how far away is it between the two points?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the speed of the current
Let = the speed of the boat in still water
Let = the distance between A and B
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Boat going upriver:

Boat going downriver:

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By substitution:



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Using substitution again:


and, also


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12 times the speed of the current is my answer
I would get a 2nd opinion on this, though


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