document.write( "Question 205118: Machine X produces W widgets in five minutes. Machine X and Y, working at the same time, produce W widgets in two minutes. How long will it take Machine Y, working alone to produce W widgets? \n" ); document.write( "
Algebra.Com's Answer #154837 by stanbon(75887)\"\" \"About 
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Machine X produces W widgets in five minutes.
\n" ); document.write( "X-DATA:
\n" ); document.write( "time = 5 min/job ; rate = 1/5 job/min
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\n" ); document.write( "\n" ); document.write( "Machine X and Y, working at the same time, produce W widgets in two minutes.
\n" ); document.write( "Together DATA:
\n" ); document.write( "time = 2 min/job ; rate = 1/2 job/min
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\n" ); document.write( "\n" ); document.write( "How long will it take Machine Y, working alone to produce W widgets?
\n" ); document.write( "Y-DATA:
\n" ); document.write( "time = k min/job ; rate = 1/k job/min
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\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/5 + 1/k = 1/2
\n" ); document.write( "Multiply thru by 10k to get:
\n" ); document.write( "2k + 10 = 5k
\n" ); document.write( "3k = 10
\n" ); document.write( "k = 3 1/3 min (time it would take Machine Y to produce W widgets)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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