document.write( "Question 908281: \"Find the time for two people working together to complete a task if it takes them 4.5 hours and 6 hours individually.\" \r
\n" ); document.write( "\n" ); document.write( "I tried working this problem out, but I had a hard time. I checked the solutions manual, but they used a random 27 in the equation somehow. Not I am just super confused! Thanks for your help!
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Algebra.Com's Answer #550937 by ankor@dixie-net.com(22740)\"\" \"About 
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\"Find the time for two people working together to complete a task if it takes them 4.5 hours and 6 hours individually.\"
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\n" ); document.write( "Let t = time to complete the job working together
\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( "Each will do a fraction of the job, the two fractions add up to 1
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\n" ); document.write( "\"t%2F4.5\" + \"t%2F6\" = 1
\n" ); document.write( "multiply by 36, get rid of the denominators
\n" ); document.write( "36*\"t%2F4.5\" + 36*\"t%2F6\" = 1*36
\n" ); document.write( "Cancel the denominators and you have
\n" ); document.write( "8t + 6t = 36
\n" ); document.write( "14t = 36
\n" ); document.write( "t= 36/14
\n" ); document.write( "t = 2.57 hrs working together; that's, 2 + .57(60) = 2 hr 34.2 min
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