document.write( "Question 143308This question is from textbook
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document.write( ": 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? \n" );
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Algebra.Com's Answer #104315 by stanbon(75887)![]() ![]() ![]() 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? \n" ); document.write( "---------- \n" ); document.write( "Let \"b\" be the speed of the boat in still water. \n" ); document.write( "---------- \n" ); document.write( "Upriver DATA: \n" ); document.write( "distance = 60 mi ; rate = b-3; time = d/r = 60/(b-3) hrs. \n" ); document.write( "-------------------- \n" ); document.write( "Downriver DATA: \n" ); document.write( "distance = 60 mi ; rate = b+3 ; time = 60/(b+3) hrs. \n" ); document.write( "--------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "time + time = 9 hrs. \n" ); document.write( "60/(b-3) + 60/(b+3) = 9 \n" ); document.write( "60b+180 + 60b-180 = 9(b^2-9) \n" ); document.write( "120b = 9b^2-81 \n" ); document.write( "3b^2 - 40b - 27 = 0 \n" ); document.write( "Using a calculator I get b = 13.97 mph\r \n" ); document.write( "\n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |