SOLUTION: The Hudson River flows at a rate of 3mph. a Patrol boat travels 60mi upriver and returns in a total time of 9 hr. What is the speed of the boat in still water?

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 Question 143308This question is from textbook : The Hudson River flows at a rate of 3mph. a Patrol boat travels 60mi upriver and returns in a total time of 9 hr. What is the speed of the boat in still water?This question is from textbook Answer by stanbon(57291)   (Show Source): You can put this solution on YOUR website!The Hudson River flows at a rate of 3mph. a Patrol boat travels 60 mi upriver and returns in a total time of 9 hr. What is the speed of the boat in still water? ---------- Let "b" be the speed of the boat in still water. ---------- Upriver DATA: distance = 60 mi ; rate = b-3; time = d/r = 60/(b-3) hrs. -------------------- Downriver DATA: distance = 60 mi ; rate = b+3 ; time = 60/(b+3) hrs. --------------------- EQUATION: time + time = 9 hrs. 60/(b-3) + 60/(b+3) = 9 60b+180 + 60b-180 = 9(b^2-9) 120b = 9b^2-81 3b^2 - 40b - 27 = 0 Using a calculator I get b = 13.97 mph =========================== Cheers, Stan H.