document.write( "Question 1155962: With both the cold water and hot water faucets​ open, it takes 7 minutes to fill a bathtub. The cold water faucet alone takes 9 minutes to fill the tub. How long will it take to fill the tub with just the hot water​ faucet? \n" ); document.write( "
Algebra.Com's Answer #778654 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Let \"+r%5Bc%5D+\" = the rate of filling with cold water faucet alone
\n" ); document.write( "Let \"+r%5Bh%5D+\" = the rate of filling with hot water faucet alone\r
\n" ); document.write( "\n" ); document.write( "\"+r%5Bc%5D+%2B+r%5Bh%5D+=+1%2F7+\"\r
\n" ); document.write( "\n" ); document.write( "Note that \"+1%2F7+\" is ( 1 tub full ) / ( 7 min )\r
\n" ); document.write( "\n" ); document.write( "\"+r%5Bc%5D+=+1%2F9\"\r
\n" ); document.write( "\n" ); document.write( "\"+1%2F9+%2B+r%5Bh%5D+=+1%2F7+\"\r
\n" ); document.write( "\n" ); document.write( "\"+r%5Bh%5D+=+1%2F7+-+1%2F9+\"\r
\n" ); document.write( "\n" ); document.write( "\"+r%5Bh%5D+=+9%2F63+-+7%2F63+\"\r
\n" ); document.write( "\n" ); document.write( "\"+r%5Bh%5D+=+2%2F63+\"\r
\n" ); document.write( "\n" ); document.write( "\"+r%5Bh%5D+=+1%2F31.5+\"\r
\n" ); document.write( "\n" ); document.write( "With just the hot faucet open the tub fills in \"highlight%2831.5%29\" min\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"+1%2F9+%2B+1%2F31.5+=+1%2F7+\"
\n" ); document.write( "\"+0.14285714285714285+=+0.14285714285714285+\"
\n" ); document.write( "\"+0.143+=+0.143+\"\r
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