document.write( "Question 100038: Kim can unload a delivery truck in 20 minutes and Rom can do it in 35 mins. If they work together, how long will it take? \n" ); document.write( "

Algebra.Com's Answer #72845 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let t=time it takes both working together
\n" ); document.write( "Kim unloads at the rate of 1/20 delivery truck per minute\r
\n" ); document.write( "\n" ); document.write( "Rom unloads at the rate of 1/35 delivery truck per minute\r
\n" ); document.write( "\n" ); document.write( "Together, they unload at the rate of (1/20+1/35 or 11/140) delivery trucks per min\r
\n" ); document.write( "\n" ); document.write( "1/20+1/35= The LCM is 140. Multiply both sides by 140/140\r
\n" ); document.write( "\n" ); document.write( "7/140+4/140=11/140\r
\n" ); document.write( "\n" ); document.write( "So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "(11/140)*t=140/140-------(note 140/140 denotes one delivery truck)\r
\n" ); document.write( "\n" ); document.write( "Multiply both sides by 140
\n" ); document.write( "11t=140 divide both sides by 11\r
\n" ); document.write( "\n" ); document.write( "t=12.73 min---------------------time it takes both working together\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "(1/20)*12.73+(1/35)*12.73=1
\n" ); document.write( "0.636363+0.363636=1
\n" ); document.write( "~1=~1\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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