document.write( "Question 147774: the current in the river flowed at 3 mph. that boat could travel 24 miles downstrea in 1/2 the time it took to travel 12 miles upstream, what was the speed of the boat in still water? \n" ); document.write( "
Algebra.Com's Answer #108151 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the current in the river flowed at 3 mph. that boat could travel 24 miles downstrea in 1/2 the time it took to travel 12 miles upstream, what was the speed of the boat in still water? \n" ); document.write( "------------------------- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 24 miles ; time = x/2 hrs ; rate = d/t = 48/x mph \n" ); document.write( "---------------------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 12 miles ; time = x hrs ; rate = d/t = 12/x mph \n" ); document.write( "---------------------- \n" ); document.write( "EQUATIONS: \n" ); document.write( "Let speed of the boat in still water = \"b\": \n" ); document.write( "b+3 = 48/x \n" ); document.write( "b-3 = 12/x \n" ); document.write( "--------------- \n" ); document.write( "Subtract 2nd from 1st to get: \n" ); document.write( "6 = 36/x \n" ); document.write( "x = 6 hrs \n" ); document.write( "------------ \n" ); document.write( "Solve for \"b\": \n" ); document.write( "b+3 = 48/6 \n" ); document.write( "b + 3 = 8 \n" ); document.write( "b = 5 mph (speed of the boat in still water) \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |