document.write( "Question 123077: Boudreaux rowed his pirogue from his camp on the bayou to his crab traps. Going down the bayou , he caught a falling tide that increased his normal speed by 2 mph but coming back he decreased his speed by 2mph. GOing with the tide, the trip only took 10 min; going against the tide the trip took 30 minutes. How far is it from Boudreaux's camp to his crab traps.
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document.write( "HINT: With the tide his rate is x+2 mph and against the tide his rate is x-2. \n" );
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Algebra.Com's Answer #90337 by rajagopalan(174)![]() ![]() You can put this solution on YOUR website! Onward journey along the stream: \n" ); document.write( "speed=x+2 \n" ); document.write( "time=10min=10/60=1/6 hour \n" ); document.write( "distance=speed*time=(1/6)*(x+2)\r \n" ); document.write( "\n" ); document.write( "return Journey against stream: \n" ); document.write( "speed=x-2 \n" ); document.write( "time=30min=30/60=1/2 hour \n" ); document.write( "distance=speed*time=(1/2)*(x+2)\r \n" ); document.write( "\n" ); document.write( "Equating both distances\r \n" ); document.write( "\n" ); document.write( "we get \n" ); document.write( "(1/6)*(x+2)=(1/2)*(x+2) \n" ); document.write( "multiply throughout by 6, \n" ); document.write( "x+2=3(x-2) \n" ); document.write( "x+2=3x-6 \n" ); document.write( "interchange sides \n" ); document.write( "3x-6=x+2 \n" ); document.write( "3x-x=2+6 \n" ); document.write( "2x=8 \n" ); document.write( "x=4 \n" ); document.write( "*** \n" ); document.write( "Speed DISABLED_event_onward= x+2=6mph \n" ); document.write( "time=1/6 \n" ); document.write( "Distance=6*1/6=1 mile \n" ); document.write( "The answer = 1 mile \n" ); document.write( "*** \n" ); document.write( "Verification \n" ); document.write( "Return speed=x-2=4-2=2 mph \n" ); document.write( "Time=1/2 hour \n" ); document.write( "Distance=2*(1/2)=1 mile \n" ); document.write( "okay\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |