document.write( "Question 227128: Sally can paint a room in 9 hours while it takes steve 8 hours to paint the same room. How long would it take them to paint the room if they worked together? \n" ); document.write( "

Algebra.Com's Answer #168863 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of woking to get rate
\n" ); document.write( "working together
\n" ); document.write( "In words:
\n" ); document.write( "(1 room/Sally's time) + (1 room/Steve's time) = (1 room)/(time working together)
\n" ); document.write( " $\"1%2F9+%2B+1%2F8+=+1%2Fx\"$
\n" ); document.write( "Multiply both sides by $\"72x\"$
\n" ); document.write( " $\"8x+%2B+9x+=+72\"$
\n" ); document.write( " $\"17x+=+72\"$
\n" ); document.write( " $\"x+=+4.24\"$ hrs
\n" ); document.write( " $\".24%2A60+=+14.4\"$
\n" ); document.write( "working together, they can paint the room in 4 hrs 14 min \n" ); document.write( "

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