document.write( "Question 230944: (7.7 #15)\r
\n" ); document.write( "\n" ); document.write( "Can someone please help me with this?\r
\n" ); document.write( "\n" ); document.write( "It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?\r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Daniel
\n" ); document.write( "

Algebra.Com's Answer #171030 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
What you need to do is to add together
\n" ); document.write( "their rates of working to get their rate
\n" ); document.write( "working together
\n" ); document.write( "In words:
\n" ); document.write( "Owner's rate = (all the cages)/(7 hours)
\n" ); document.write( "Assistant's rate = (all the cages)/(11 hours)
\n" ); document.write( "Let \"x\" = their time working together
\n" ); document.write( "Call all the cages cleaned 1 job, so
\n" ); document.write( "\"1%2F7+%2B+1%2F11+=+1%2Fx\"
\n" ); document.write( "Multiply both sides by \"77x\"
\n" ); document.write( "\"11x+%2B+7x+=+77\"
\n" ); document.write( "\"18x+=+77\"
\n" ); document.write( "\"x+=+4.278\" hrs
\n" ); document.write( "It takes them 4 hrs 16 min and 40 sec working together
\n" ); document.write( "check:
\n" ); document.write( "\"1%2F7+%2B+1%2F11+=+1%2Fx\"
\n" ); document.write( "\"1%2F7+%2B+1%2F11+=+1%2F4.278\"
\n" ); document.write( "\".14286+%2B+.09091+=+.233766\"
\n" ); document.write( "\".233769+=+.233766\" close enough
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