document.write( "Question 50670: A crew can row 8km downstreat and back in 4.8 hours. If the rate of the current is 4 kph, find the rate of the crew in still water.\r
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document.write( "Oh please help me!!
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document.write( "Matt \n" );
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Algebra.Com's Answer #33775 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! A crew can row 8km downstreat and back in 4.8 hours. If the rate of the current is 4 kph, find the rate of the crew in still water. \n" ); document.write( "let crew's speed in still water =v kph \n" ); document.write( "water current = 4 kph \n" ); document.write( "speed up stream = v-4 kph \n" ); document.write( "speed down stream =v+4 kph \n" ); document.write( "total time to ride 8 km up and down=8{1/(v-4)+1/(v+4)=16v/(v^2-16)=4.8 \n" ); document.write( "4.8v^2-16*4.8=16v \n" ); document.write( "0.3 v^2-v-4.8=0 \n" ); document.write( "3v^2-10v-48=0 \n" ); document.write( "3v^2-18v+8v-48=0 \n" ); document.write( "3v(v-6)+8(v-6)=0 \n" ); document.write( "(v-6)(3v+8)=0 \n" ); document.write( "v=6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |