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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It will take them |