document.write( "Question 556825: It takes James and Bret 15 minutes to travel 5 miles upstream against the current. The return trip downstream with the current takes 10 minutes. The speed of the current remained constant.\r
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document.write( "I need help with finding their speed for upstream and downstream and then finding the boat and current speeds... \n" );
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Algebra.Com's Answer #362282 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! It takes James and Bret 15 minutes to travel 5 miles upstream against the current. The return trip downstream with the current takes 10 minutes. The speed of the current remained constant. \n" ); document.write( "------- \n" ); document.write( "Upstream DATA: \n" ); document.write( "distance = 5 miles ; time = 1/4 hr ; rate = d/t = 5/(1/4) = 20 mph \n" ); document.write( "---- \n" ); document.write( "Downstream DATA: \n" ); document.write( "distance = 5 miles ; time = 1/6 hr ; rate = d/t = 5/(1/6) = 30 mph \n" ); document.write( "---- \n" ); document.write( "Equation: \n" ); document.write( "b + c = 30 mph \n" ); document.write( "b - c = 20 mph \n" ); document.write( "---- \n" ); document.write( "Add and solve for \"b\": \n" ); document.write( "2b = 50 mph \n" ); document.write( "b = 25 mph (speed of the boat in still water) \n" ); document.write( "--- \n" ); document.write( "Solve for \"c\": \n" ); document.write( "b + c = 30 \n" ); document.write( "25 + c = 30 \n" ); document.write( "c = 5 mph (speed of the current) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============== \n" ); document.write( " |