document.write( "Question 54318: Speed of a Boat. A boat travels 26 miles up a river in the same amount of time it takes to travel 34 miles down the same river. If the current is 2 mph, what is the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #36582 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Speed of a Boat. A boat travels 26 miles up a river in the same amount of time it takes to travel 34 miles down the same river. If the current is 2 mph, what is the speed of the boat in still water? \n" ); document.write( "------------- \n" ); document.write( "Let the speed of the boat be \"s\". \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance=26 miles ; rate = s-2 mph ; time= d/r = 26/(s-2) hrs. \n" ); document.write( "------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 34 miles; rate = s+2 mph ; time = d/r = 34/(s+2) hrs. \n" ); document.write( "------------ \n" ); document.write( "EQUATION: \n" ); document.write( "time up = time down \n" ); document.write( "34/(s+2) = 26/(s-2) \n" ); document.write( "34(s-2)=26(s+2) \n" ); document.write( "34s-68 = 26s+52 \n" ); document.write( "8s = 120 \n" ); document.write( "s= 15 mph \n" ); document.write( "Speed of the boat in still water is 15 mph \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |