document.write( "Question 747763: In 5 minutes, a conveyor belt moves 800 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 8 minutes. If both belts are used, find how long it takes to move the cans to the storage area. \n" ); document.write( "
Algebra.Com's Answer #455117 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In 5 minutes, a conveyor belt moves 800 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 8 minutes. If both belts are used, find how long it takes to move the cans to the storage \n" ); document.write( "--------------- \n" ); document.write( "Larger belt DATA: \n" ); document.write( "time = 5 min/job ; rate = 1/5 job/min \n" ); document.write( "------------ \n" ); document.write( "Smaller belt DATA: \n" ); document.write( "time = 8 min/job ; rate = 1/8 job/min \n" ); document.write( "----- \n" ); document.write( "Together DATA: \n" ); document.write( "time = x min/job ; rate = 1/x job/min \n" ); document.write( "--------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/5 + 1/8 = 1/x \n" ); document.write( "8x + 5x = 40 \n" ); document.write( "13x = 40 \n" ); document.write( "x = 3.08 minutes = 3 min 4.8 seconds \n" ); document.write( "------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |