document.write( "Question 427802: swimming with the current for 36 minutes, i traveled 1.5 miles. Swimming back to where i started against the current it took 1 hour. what is the rate at which i swam in still water? What is the rate of the current?\r
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Algebra.Com's Answer #297472 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! swimming with the current for 36 minutes, i traveled 1.5 miles. \n" ); document.write( " Swimming back to where i started against the current it took 1 hour. \n" ); document.write( " what is the rate at which i swam in still water? \n" ); document.write( " What is the rate of the current? \n" ); document.write( ": \n" ); document.write( "Let s = swim speed in still water \n" ); document.write( "Let c = rate of the current \n" ); document.write( ": \n" ); document.write( "Change 36 min to .6 hrs \n" ); document.write( ": \n" ); document.write( "Write two distance equation, one for each way, Dist = speed * time \n" ); document.write( ".6s + .6c = 1.5 \n" ); document.write( "and \n" ); document.write( "1s - 1c = 1.5 \n" ); document.write( "s = (c + 1.5) \n" ); document.write( ": \n" ); document.write( "replace s with (c+1.5) in the 1st equation \n" ); document.write( ".6(c + 1.5) + .6c = 1.5 \n" ); document.write( ".6c + .9 + .6c = 1.5 \n" ); document.write( "1.2c = 1.5 - .9 \n" ); document.write( "1.2c = .6 \n" ); document.write( "c = \n" ); document.write( "c = .5 mph is the current \n" ); document.write( ": \n" ); document.write( "Find s using the 2nd equation \n" ); document.write( "s - .5 = 1.5 \n" ); document.write( "s = 1.5 + .5 \n" ); document.write( "s = 2 mph is the swimming speed \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solutions in the 1st equation \n" ); document.write( ".6(2) + .6(.5) = 1.5 \n" ); document.write( "1.2 + .3 = 1.5 \n" ); document.write( " |