document.write( "Question 1113230: Alika is training for a paddleboard race between Molokai and Oahu. He knows he can average 5 mph with no current. During a recent training run in the ocean, he noticed it took the same amount of time to travel 10 miles with the current as it did to travel 6 miles against the current. What was the rate of the current that day?\r
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document.write( "thank you! \n" );
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Algebra.Com's Answer #728270 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! v*t=distance \n" ); document.write( "(5-c)*t=6 \n" ); document.write( "(5+c)*t=10, where c is the current \n" ); document.write( "t=6/(5-c) \n" ); document.write( "t also = (10)/(5+c) \n" ); document.write( "Those two are equal since the times are stated to be equal. \n" ); document.write( "cross multiply \n" ); document.write( "6(5+c)=10(5-c) \n" ); document.write( "30+6c=50-10c \n" ); document.write( "16c=20 \n" ); document.write( "c=1.25 mph ANSWER \n" ); document.write( "check \n" ); document.write( "3.75 mph against and takes 6/3.75 or 1.6 hours to go 6 miles. \n" ); document.write( "6.25 mph with and takes 1.6 hours to go 10 miles \n" ); document.write( " \n" ); document.write( " |