document.write( "Question 870960: Jane can mow the lawn in 50mins. When she and her brother, mike work together they can finish in 30 mins How long does it take Mike when he works alone? \n" ); document.write( "

Algebra.Com's Answer #525238 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of working to get their rate
\n" ); document.write( "working together
\n" ); document.write( "Jane's rate:
\n" ); document.write( "( 1 lawn ) / ( 50 min )
\n" ); document.write( "Mike's rate:
\n" ); document.write( "( 1 lawn ) / ( t min )
\n" ); document.write( "Rate working together:
\n" ); document.write( "( 1 lawn ) / ( 30 min )
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+1%2F50+%2B+1%2Ft+=+1%2F30+\"$
\n" ); document.write( "Multiply both sides by $\"+150t+\"$
\n" ); document.write( " $\"+3t+%2B+150+=+5t+\"$
\n" ); document.write( " $\"+2t+=+150+\"$
\n" ); document.write( " $\"+t+=+75+\"$
\n" ); document.write( " $\"+75+-+60+=+15+\"$
\n" ); document.write( "It takes Mike 1 hr 15 min working alone
\n" ); document.write( " \n" ); document.write( "

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