document.write( "Question 1058889: together camden and aidan can repair a van in 5 hours. if aidan can complete the job himself in 8/1/3 hours, how long would it take camden to fix the can by himself? \n" ); document.write( "

Algebra.Com's Answer #673979 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+1%2Ft+\"$ Camden's rate of working in the units:
\n" ); document.write( "[ 1 van repaired ] / [ t hrs ]
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"+1+%2F+%2825%2F3%29+=+3%2F25+\"$ = Aiden's rate of working
\n" ); document.write( "[ 3 vans repaired ] / [ 25 hrs ] which is the same as:
\n" ); document.write( "[ 1 van repaired ] / [ 8.333 hrs ]
\n" ); document.write( "------------------------------
\n" ); document.write( "Together, their rate is:
\n" ); document.write( " $\"+1%2F5+\"$ =
\n" ); document.write( "[ 1 van repaired ] / [ 5 hrs ]
\n" ); document.write( "Add their rates of working to get
\n" ); document.write( "their rate working together
\n" ); document.write( "-------------------------------
\n" ); document.write( " $\"+3%2F25+%2B+1%2Ft+=+1%2F5+\"$
\n" ); document.write( "Multiply both sides by $\"+25t+\"$
\n" ); document.write( " $\"+3t+%2B+25+=+5t+\"$
\n" ); document.write( " $\"+2t+=+25+\"$
\n" ); document.write( " $\"+t+=+12.5+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Working alone, Camden can fix the van
\n" ); document.write( "in 12.5 hrs
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F8.333+%2B+1%2F12.5+=+1%2F5+\"$
\n" ); document.write( " $\"+.12+%2B+.08+=+.2+\"$
\n" ); document.write( " $\"+.2+=+.2+\"$
\n" ); document.write( "OK\r
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