document.write( "Question 1197446: hello please help me to solve this,thankyou!!
\n" ); document.write( "two hoses, when connected to a swimming pool, can fill the pool in 4 hours. If the larger hose alone is used, it can fill the pool in 6 hours less than the smaller hose how long will it take the smaller hose to fill the swimming pool alone?
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Algebra.Com's Answer #830720 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "We let the time taken when ....
\n" ); document.write( "the larger hose alone is used be\"+%28x+-+6%29\"
\n" ); document.write( "and the smaller hose as \"x\".\r
\n" ); document.write( "\n" ); document.write( "This would make their rates and respectively.\r
\n" ); document.write( "\n" ); document.write( "Take note that:\r
\n" ); document.write( "\n" ); document.write( "\"1%2Frate+=+time+\"\r
\n" ); document.write( "\n" ); document.write( "so,\r
\n" ); document.write( "\n" ); document.write( "\"1%2Frate\" of both hoses = \"4\"\r
\n" ); document.write( "\n" ); document.write( "rate of both hoses = \"1%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F%28x-6%29%2B1%2Fx=1%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B%28x-6%29%29%2Fx%28x-6%29=1%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"%282x-6%29%2F%28x%5E2-6x%29=1%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%282x-6%29=1%28x%5E2-6x%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"8x-24=x%5E2-6x\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=x%5E2-6x-8x%2B24\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=x%5E2-14x%2B24\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=x%5E2-2x-12x%2B24\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=%28x%5E2-2x%29-%2812x-24%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=x%28x-2%29-12%28x-2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"0=%28x-12%29%28x-2%29\"\r
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\n" ); document.write( "\n" ); document.write( "This would mean that \"x+=+12\" or \"x=2\" but \"x+\"cannot be \"2\" since that would make the time taken for the larger hose negative.\r
\n" ); document.write( "\n" ); document.write( "Therefore it will take the smaller hose \"12+\"hours to fill the swimming pool alone.\r
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