document.write( "Question 947895: It takes a person 20 minutes to check a batch of 60 workers. An assistant can check the same batch in 30 minutes. How long should it take them working together?\r
\n" ); document.write( "\n" ); document.write( "Simplest format please. \n" ); document.write( "
Algebra.Com's Answer #578563 by ptaylor(2198)\"\" \"About 
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It takes a person 20 minutes to check a batch of 60 workers. An assistant can check the same batch in 30 minutes. How long should it take them working together?
\n" ); document.write( "Let x=amount of time it takes them working together
\n" ); document.write( "Together they check at the rate of 1/x of the batch per min
\n" ); document.write( "The person checks at the rate of 1/20 batch per min
\n" ); document.write( "Assistant checks at the rate of 1/30 of the batch per min
\n" ); document.write( "Soooo
\n" ); document.write( "1/20 + 1/30= 1/x multiply each term by 60x
\n" ); document.write( "3x+2x=60
\n" ); document.write( "5x=60
\n" ); document.write( "x=12 min ---amount of time it takes them working together\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "In 12 min person checks 12/20 of the batch
\n" ); document.write( "In 12 min assistant checks 12/30 of the batch
\n" ); document.write( "12/20 + 12/30 should equal 1 (1 batch, that is)
\n" ); document.write( "36/60+24/60=???1
\n" ); document.write( "60/60=1
\n" ); document.write( "1=1\r
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor\r
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