document.write( "Question 565283: A boy can row a boat at a constant rate of 5mi/hr in still water. He rows up stream for 15 min. and then rows downstream, returning to his starting point in another 12 min.
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document.write( "A. Find rate of the current
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document.write( "B. Find total distance traveled \n" );
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Algebra.Com's Answer #365727 by mananth(16946)![]() ![]() You can put this solution on YOUR website! boat rate in still water = 5mph\r \n" ); document.write( "\n" ); document.write( "upstream rate = 5-x \n" ); document.write( "downstream rate = 5+x\r \n" ); document.write( "\n" ); document.write( "time upstream = 1/4 hour \n" ); document.write( "time downstream = 1/5 hour\r \n" ); document.write( "\n" ); document.write( "Distance up and down is the same\r \n" ); document.write( "\n" ); document.write( "d=rt \n" ); document.write( "(5-x)*1/4 = (5+x)*1/5\r \n" ); document.write( "\n" ); document.write( "multiply the equation by 20 \n" ); document.write( "5(5-x)=4(5+x) \n" ); document.write( "25-5x=20+4x \n" ); document.write( "9x=5\r \n" ); document.write( "\n" ); document.write( "x= 5/9 mph speed of current\r \n" ); document.write( "\n" ); document.write( "D= (5-(5/9)*1/4 = 1.11 miles \n" ); document.write( " \n" ); document.write( " |