document.write( "Question 831090: Jiga can finish painting his house in 24 minutes. If his brother will help him they will finish it. in 15 minutes. How long will it take his brother to paint it alone? \n" ); document.write( "

Algebra.Com's Answer #501146 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+t+\"$ = brother's time in minutes to paint it alone
\n" ); document.write( "Add their rates of painting to get their
\n" ); document.write( "rate working together
\n" ); document.write( "( 1 house ) / ( 24 min ) + ( 1 house ) / ( t min ) = ( 1 house ) / ( 15 min )
\n" ); document.write( " $\"+1%2F24+%2B+1%2Ft+=+1%2F15+\"$
\n" ); document.write( "Multiply both sides by $\"+24%2A15t+\"$
\n" ); document.write( " $\"+15t+%2B+15%2A24+=+24t+\"$
\n" ); document.write( " $\"+9t+=+360+\"$
\n" ); document.write( " $\"+t+=+40+\"$
\n" ); document.write( "It will take his brother 40 min working alone\r
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