document.write( "Question 94284: Working together Linda and Jim can clean the windows of their house in 3 hours and 36 minutes. Linda can clean all the windows by herself in 7 hours. How long will it take Jim to clean the windows by himself? \n" ); document.write( "
Algebra.Com's Answer #68617 by stanbon(75887)\"\" \"About 
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Working together Linda and Jim can clean the windows of their house in 3 hours and 36 minutes. Linda can clean all the windows by herself in 7 hours. How long will it take Jim to clean the windows by himself?
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\n" ); document.write( "Linda DATA:
\n" ); document.write( "Time = 420 minutes/job ; Rate = 1/420 job/minute
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\n" ); document.write( "Jim DATA:
\n" ); document.write( "Time = x minutes/job ; Rate = 1/x job/min
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\n" ); document.write( "Together DATA;
\n" ); document.write( "Time = 216 minutes/job ; = 1/216 job/minute
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\n" ); document.write( "EQUATION:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/420 + 1/x = 1/216
\n" ); document.write( "Multiply thru be 4x to get:
\n" ); document.write( "x/105 + 4 = x/54
\n" ); document.write( "x/105 - x/54 = -4
\n" ); document.write( "(54x -105x) = -4*105*54
\n" ); document.write( "-51x = -22680
\n" ); document.write( "x = 444.71 minutes
\n" ); document.write( "x = 7 hrs 24 minutes (time for Jim to do the job alone)\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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