document.write( "Question 1055380: Jack and Jill can mow the park together in 10 hours. Jack and Joe can mow the same park together in 15 hours. jill and Joe can mow the same park together in 18 hours. Determine the number of hours it would take jill alone to mow the park. Express your answer as a common fraction reduced to lowest terms. \n" ); document.write( "
Algebra.Com's Answer #670593 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
[ rate of mowing ] = [ 1 park mowed ] / [ t hrs ]
\n" ); document.write( "[ rate of mowing ] = [ R ]
\n" ); document.write( "\"+R%5Ba%5D+\" = Jack's rate of mowing
\n" ); document.write( "\"+R%5Bb%5D+\" = Jill's rate of mowing
\n" ); document.write( "\"+R%5Bc%5D+\" = Joe's rate of mowing
\n" ); document.write( "--------------------------------
\n" ); document.write( "Add rates of mowing to get the rate mowing together
\n" ); document.write( "(1) \"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F10+\"
\n" ); document.write( "(2) \"+R%5Ba%5D+%2B+R%5Bc%5D+=+1%2F15+\"
\n" ); document.write( "(3) \"+R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F18+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "Add (1) and (3) and subtract (2)
\n" ); document.write( "\"+R%5Ba%5D+%2B+2R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F10+%2B+1%2F18+\"
\n" ); document.write( "\"+-R%5Ba%5D+-+R%5Bc%5D+=+-1%2F15+\"
\n" ); document.write( "-------------------------------------
\n" ); document.write( "\"+2R%5Bb%5D+=+1%2F10+%2B+1%2F18+-+1%2F15+\"
\n" ); document.write( "\"+R%5Bb%5D+=+1%2F20+%2B+1%2F36+-+1%2F30+\"
\n" ); document.write( "\"+R%5Bb%5D+=+9%2F180+%2B+5%2F180+-+6%2F180+\"
\n" ); document.write( "\"+R%5Bb%5D+=+8%2F180+\"
\n" ); document.write( "\"+R%5Bb%5D+=+2%2F45+\"
\n" ); document.write( "\"+R%5Bb%5D+=+1%2F%28%28+45%2F2+%29%29+\"
\n" ); document.write( "( This is [ 1 park mowed ] / [ 45/2 hrs ] )
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "It will take Jill 45/2 hrs to mow the park alone
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "(1) \"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F10+\"
\n" ); document.write( "(1) \"+R%5Ba%5D+%2B+2%2F45+=+1%2F10+\"
\n" ); document.write( "(1) \"+R%5Ba%5D+=+9%2F90+-+4%2F90+\"
\n" ); document.write( "(1) \"+R%5Ba%5D+=+5%2F90+\"
\n" ); document.write( "(1) \"+R%5Ba%5D+=+1%2F18+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F18+\"
\n" ); document.write( "(3) \"+2%2F45+%2B+R%5Bc%5D+=+1%2F18+\"
\n" ); document.write( "(3) \"+R%5Bc%5D+=+5%2F90+-+4%2F90+\"
\n" ); document.write( "(3) \"+R%5Bc%5D+=+1%2F90+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+R%5Ba%5D+%2B+R%5Bc%5D+=+1%2F15+\"
\n" ); document.write( "(2) \"+1%2F18+%2B+1%2F90+=+1%2F15+\"
\n" ); document.write( "(2) \"+5%2F90+%2B+1%2F90+=+6%2F90+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F10+\"
\n" ); document.write( "(1) \"+1%2F18+%2B+2%2F45+=+1%2F10+\"
\n" ); document.write( "(1) \"+5%2F90+%2B+4%2F90+=+9%2F90+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(3) \"+R%5Bb%5D+%2B+R%5Bc%5D+=+1%2F18+\"
\n" ); document.write( "(3) \"+2%2F45+%2B+1%2F90+=+1%2F18+\"
\n" ); document.write( "(3) \"+4%2F90+%2B+1%2F90+=+5%2F90+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );