document.write( "Question 181433: A boat travels down the river for 8 miles in 20 minutes. The same boat travels
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document.write( "back up the river for 8 miles in 30 minutes. Find the speed of the boat in
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document.write( "still water. \n" );
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Algebra.Com's Answer #136040 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A boat travels down the river for 8 miles in 20 minutes. \n" ); document.write( "The same boat travels back up the river for 8 miles in 30 minutes. \n" ); document.write( "Find the speed of the boat in still water. \n" ); document.write( "----------------------------------------------- \n" ); document.write( "Downriver DATA: \n" ); document.write( "distance = 8 miles ; time = (1/3)hr. ; rate = d/t = 8/(1/3) = 24 mph \n" ); document.write( "---------------------------------------------- \n" ); document.write( "Upriver Data: \n" ); document.write( "distance = 8 miles; time = (1/2) hr ; rate = d/t = 8/(1/2) = 16 mph \n" ); document.write( "----------------------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "b + c = 24 \n" ); document.write( "b - c = 16 \n" ); document.write( "------------- \n" ); document.write( "2b = 40 \n" ); document.write( "b = 20 mph (speed of the boat in still water) \n" ); document.write( "---- \n" ); document.write( "Substitute to solve for \"c\": \n" ); document.write( "20 + c = 24 \n" ); document.write( "c = 4 mph (speed of the current) \n" ); document.write( "======================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |