SOLUTION: An excursion boat takes 2hours longer to go 45miles up a river than to return. If the boat's speed in still water is 12miles per hour, what is the speed of the current? Use T for t

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Question 296973: An excursion boat takes 2hours longer to go 45miles up a river than to return. If the boat's speed in still water is 12miles per hour, what is the speed of the current? Use T for time and x for the current.
Answer by dabanfield(803) About Me  (Show Source):
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An excursion boat takes 2hours longer to go 45miles up a river than to return. If the boat's speed in still water is 12miles per hour, what is the speed of the current? Use T for time and x for the current.
Using the formula distance = rate*time
The formula for the trip upstream (against the current) is
1.) 45 = (12-x)*(T+2)
The formula for the trip downstream (with the current) is
2.) 45 = (12+x)*T
Solve 1.) and 2.) simultaneously for T and X