document.write( "Question 865720: It takes Jimmy ten hours to dig a 10 ft by 10 ft hole. Julia can dig the same hole in eight hours. Find how long it would take them if they worked together. \n" ); document.write( "
Algebra.Com's Answer #521820 by jim_thompson5910(35256)\"\" \"About 
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Note: the \"10 ft by 10 ft\" portion is irrelevant. It's put in there to throw you off. So ignore it. I would rephrase the statement to be \"it takes Jimmy 10 hours to dig a single hole\". And then maybe add on \"Julia can dig the same hole, of the same volume and size, in 8 hours\"\r
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\n" ); document.write( "\n" ); document.write( "Let,
\n" ); document.write( "x = time it takes Jimmy to do the job alone
\n" ); document.write( "y = time it takes Julia to do the job alone
\n" ); document.write( "z = time it takes for them to get the job done when they work together\r
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\n" ); document.write( "\n" ); document.write( "So that means,
\n" ); document.write( "x = 10
\n" ); document.write( "y = 8
\n" ); document.write( "z = unknown (we leave it as 'z' for now). We are solving for this and isolating this variable\r
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\n" ); document.write( "\n" ); document.write( "\"1%2Fx+%2B+1%2Fy+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F10+%2B+1%2F8+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%2F40+%2B+1%2F8+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "\"4%2F40+%2B+5%2F40+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "\"%284+%2B+5%29%2F40+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "\"9%2F40+=+1%2Fz\"\r
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\n" ); document.write( "\n" ); document.write( "\"9z+=+40%2A1\"\r
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\n" ); document.write( "\n" ); document.write( "\"9z+=+40\"\r
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\n" ); document.write( "\n" ); document.write( "\"z+=+40%2F9\"\r
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\n" ); document.write( "\n" ); document.write( "It will take them \"40%2F9\" hours to get the job done if they work together (Note: \"40%2F9+=+4.4444\" hours approximately)
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