document.write( "Question 134362This question is from textbook algebra
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document.write( ":   A motorboat has a four-hour supply of gasoline. How far from the marina can it travel if the rate going out against the current is 20mi/h and the rate the rate coming back with the current is 30mi/h?
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| Algebra.Com's Answer #98266 by edjones(8007)     You can put this solution on YOUR website! rt=d r=rate t=time d=distance \n" ); document.write( "Let a=time going against the current, w=time going with the current \n" ); document.write( "The distance up the river equals the distance down. \n" ); document.write( "M) a+w=4 \n" ); document.write( "N) 20a=30w \n" ); document.write( ". \n" ); document.write( "M) 30a+30w=120 multiply each side by 30. \n" ); document.write( "N) 20a-30w=0 \n" ); document.write( "----------------add \n" ); document.write( "==>50a=120 \n" ); document.write( ". \n" ); document.write( "a=120/50=12/5 hrs \n" ); document.write( "w=4- 12/5 =8/5 hrs \n" ); document.write( ". \n" ); document.write( "20*12/5=48 mi Ans. \n" ); document.write( ". \n" ); document.write( "Check: \n" ); document.write( "30*8/5=48 mi \n" ); document.write( ". \n" ); document.write( "Ed\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |