document.write( "Question 109325: Question #1:
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document.write( "A motorboat can move at a speed of 18 km/h in still water. The boat travels 105 km downstream in a river in the same time it takes to go 75 km upstream. What is the speed(or current) of the river?\r
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document.write( "Question #2:
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document.write( "A small water pipe takes twice as long to fill a tank as does a larger water pipe. With both pipes open, it takes 16 h to fill the tank. Find the time it would take the small pipe working alone to fill the tank.
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Algebra.Com's Answer #79703 by checkley71(8403) ![]() You can put this solution on YOUR website! 1) 105/(18+x)=75/(18-x) now cross multiply \n" ); document.write( "75(18+x)=105(18-x) \n" ); document.write( "1350+75x=1890-105x \n" ); document.write( "75x+105x=1890-1350 \n" ); document.write( "180x=540 \n" ); document.write( "x=540/180 \n" ); document.write( "x=3 kh. is the speed of the current. \n" ); document.write( "2) x*2x/(x+2x)=16 \n" ); document.write( "2x*2/3x=16 now cross multiply \n" ); document.write( "16*3x=2x^2 \n" ); document.write( "2x^2-48x=0 \n" ); document.write( "2x(x-24)=0 \n" ); document.write( "x=24 hours for the larger pipe to fill the tank. \n" ); document.write( "2*24=48 hours for the smaller pipe. \n" ); document.write( "proof \n" ); document.write( "24*48/(24+48)=16 \n" ); document.write( "1152/72=16 \n" ); document.write( "72*16=1152 \n" ); document.write( "1152=1152 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |