document.write( "Question 961638: It takes an apprentice twice as long as the experienced plumber to replace the pipes under an old house. If it takes them 5 hours when they work together, how long would it take the apprentice alone? \n" ); document.write( "
Algebra.Com's Answer #587571 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = time in hours
\n" ); document.write( "\"+1%2Ft+\" = the experienced plumber's
\n" ); document.write( "rate of working
\n" ); document.write( "\"+1%2F%282t%29+\" = the apprentice's rate of working
\n" ); document.write( "--------------------
\n" ); document.write( "Add their rates to get their rate
\n" ); document.write( "working together
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F5+\"
\n" ); document.write( "Multiply both sides by \"+10t+\"
\n" ); document.write( "\"+10+%2B+5+=+2t+\"
\n" ); document.write( "\"+2t+=+15+\"
\n" ); document.write( "\"+t+=+7.5+\"
\n" ); document.write( "-------------
\n" ); document.write( "The apprentice, working alone, takes 15 hrs
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F5+\"
\n" ); document.write( "\"+1%2F7.5+%2B+1%2F15+=+1%2F5+\"
\n" ); document.write( "\"+2%2F15+%2B+1%2F15+=+3%2F15+\"
\n" ); document.write( "\"+3%2F15+=+3%2F15+\"
\n" ); document.write( "OK\r
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