document.write( "Question 476875: Hi, I'm stuck on this one word problem, I want to know the steps in order to solve this problem so I am able to do it in the future. I'm currently working on Rational Expressions. Thank you!!!\r
\n" ); document.write( "\n" ); document.write( "In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 7 minutes. If both belts are used, find how long it takes to move the cans to the storage area.
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Algebra.Com's Answer #326949 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You need to add their rates of working
\n" ); document.write( "to get their rate working together
\n" ); document.write( "For the bigger belt:
\n" ); document.write( "Rate1 = (300 pounds of aluminum) / (3 minutes)
\n" ); document.write( "For the smaller belt:
\n" ); document.write( "Rate2 = (300 pounds of aluminum) / (7 minutes)
\n" ); document.write( "I will call moving 300 pounds of aluminum 1 job
\n" ); document.write( "So, Rate1 = \"+1%2F3+\"
\n" ); document.write( "and Rate2 = \"+1%2F7+\"
\n" ); document.write( "Let \"t\" = time in minutes for both belts to do this job
\n" ); document.write( "Rate 1 + rate2 = Rate3
\n" ); document.write( "\"+1%2F3+%2B+1%2F7+=+1%2Ft+\"
\n" ); document.write( "Multiply both sides by \"21t\"
\n" ); document.write( "\"+7t+%2B+3t+=+21+\"
\n" ); document.write( "\"+10t+=+21+\"
\n" ); document.write( "\"+t+=+2.1+\" min
\n" ); document.write( "Note that \"+.1+\" min = 6 sec
\n" ); document.write( "Working togethers, the belts can move the cans
\n" ); document.write( "in 2 min and 6 sec\r
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