document.write( "Question 150565This question is from textbook
\n" ); document.write( ": roma can finish weeding a flower garden in 4 1/2 hours. roma has worked for 2 hours before amor joined her and they finished the job in 2 hours. how long would it take both of them to finish the job working together? how long would it take amor to do the job alone? \n" ); document.write( "
Algebra.Com's Answer #110528 by josmiceli(19441)\"\" \"About 
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Let \"r\"= Roma's rate of working
\n" ); document.write( "Let \"a\"= Amor's rate of working
\n" ); document.write( "\"r+%2B+a+=+t\", their rate working together
\n" ); document.write( "Roma's rate is (1 garden weeded)/4.5 hrs
\n" ); document.write( "\"1%2F4.5+%2B+a+=+t\"
\n" ); document.write( "What part of the job did Roma do in 2 hours?
\n" ); document.write( "\"%281%2F4.5%29%2A2+=+4%2F9\"
\n" ); document.write( "So, \"5%2F9\" of the job is left when Amor joins her
\n" ); document.write( "They did \"5%2F9\" of the job in \"2\" hrs
\n" ); document.write( "\"%285%2F9%29%2F2\" is their rate working together
\n" ); document.write( "Multiply top and bottom by \"9%2F5\"
\n" ); document.write( "\"%28%289%2F5%29%2F%289%2F5%29%29%2A%28%285%2F9%29%2F2%29+=+1%2F%2818%2F5%29\"
\n" ); document.write( "They can do the whole job in \"18%2F5\" of an hour
\n" ); document.write( "\"%2818%2F5%29%2A60\" = 3 hrs 36 min answer
\n" ); document.write( "-------
\n" ); document.write( "To find Amor's time to do the whole job,
\n" ); document.write( "\"1%2F4.5+%2B+a+=+t\"
\n" ); document.write( "\"2%2F9+%2B+a+=+5%2F18\"
\n" ); document.write( "Multiply both sides by \"18\"
\n" ); document.write( "\"4+%2B+18a+=+5\"
\n" ); document.write( "\"18a+=+1\"
\n" ); document.write( "\"a+=+1%2F18\" This is Amor's rate, which is
\n" ); document.write( "(1 job)/(18 hours)
\n" ); document.write( "It takes Amor \"18\" hrs to do the job alone
\n" ); document.write( "
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