document.write( "Question 727113:
\n" ); document.write( "If Samantha and Logan can do their paper route together in 45min,how many hours would it take each of them to do it alone, given that Samantha is 3 times as fast as Logan?\r
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\n" ); document.write( "\n" ); document.write( " RATE TIME WORK DONE\r
\n" ); document.write( "\n" ); document.write( "Samantha\r
\n" ); document.write( "\n" ); document.write( "Logan
\n" ); document.write( "

Algebra.Com's Answer #444969 by checkley79(3341)\"\" \"About 
You can put this solution on YOUR website!
1/x+1/3x=1/.75
\n" ); document.write( "(3+x)/3x=1/.75 cross multiply.
\n" ); document.write( "3x=(3+x).75
\n" ); document.write( "3x=2.25+.75x
\n" ); document.write( "3x-.75x=2.25
\n" ); document.write( "2.25x=2.25
\n" ); document.write( "x=1 hour for Samantha
\n" ); document.write( "3*1=3 hours for Logan
\n" ); document.write( "Proof:
\n" ); document.write( "1/1+1/3=1/.75
\n" ); document.write( "(3+1)/3=1/.75
\n" ); document.write( "4/3=1/.75
\n" ); document.write( "3=4*.75
\n" ); document.write( "3=3
\n" ); document.write( "##########################################
\n" ); document.write( "RATE TIME WORK DONE
\n" ); document.write( "Samantha = 1 Hour.
\n" ); document.write( "Logan = 3 Hours.
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