document.write( "Question 35287: Jim and Bob are painters. Jim can paint a wall in 6 hours and Bob can do the same size wall in 4 hours. How long will it take to paint the wall if Jim and Bob work together? Your answer is supposed to have the form h hour and m minutes, where h and m are positive integers. Put h in the 1st box with the unit hr, and put m in the 2nd box with the unit min. \n" ); document.write( "

Algebra.Com's Answer #25849 by tutorcecilia(2152) $\"\"$ $\"About$

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Set-up the problem as follows:\r
\n" ); document.write( "\n" ); document.write( "x/6 + x/4 = 1 (one entire job)\r
\n" ); document.write( "\n" ); document.write( "Simplify and solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "(6x + 4x)/24 = 1\r
\n" ); document.write( "\n" ); document.write( "10x/24 = 1\r
\n" ); document.write( "\n" ); document.write( "x = 24/10\r
\n" ); document.write( "\n" ); document.write( "x = 2.40 hours\r
\n" ); document.write( "\n" ); document.write( "Convert .40 hours to minutes by using the conversion factor of 60 minutes/1hour:\r
\n" ); document.write( "\n" ); document.write( ".40hours x (60min)/(1hr)= 24 minutes\r
\n" ); document.write( "\n" ); document.write( "So both men would complete the job in 2 hours and 24 minutes.\r
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