document.write( "Question 141977: Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the answer as a mixed number )
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Algebra.Com's Answer #103392 by stanbon(75887)\"\" \"About 
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Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the answer as a mixed number )
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\n" ); document.write( "Together DATA:
\n" ); document.write( "time = 4 hrs/job ; rate = 1/4 job/hr
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\n" ); document.write( "Andy DATA:
\n" ); document.write( "time = 7 hrs/job ; rate = 1/7 job/hr
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\n" ); document.write( "Ben DATA:
\n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr
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\n" ); document.write( "EQUATION:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/x+ 1/7 = 1/4
\n" ); document.write( "Multiply thru by 28x to get:
\n" ); document.write( "28 + 4x = 7x
\n" ); document.write( "3x = 28
\n" ); document.write( "x = 38/3 = 12 2/3 hrs (time for Ben to do the job alone)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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