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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.
Answer by stanbon(75887)   (Show Source):
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
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Larger belt DATA:
time = 5 min/job ; rate = 1/5 job/min
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Smaller belt DATA:
time = 8 min/job ; rate = 1/8 job/min
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Together DATA:
time = x min/job ; rate = 1/x job/min
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Equation:
rate + rate = together rate
1/5 + 1/8 = 1/x
8x + 5x = 40
13x = 40
x = 3.08 minutes = 3 min 4.8 seconds
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Cheers,
Stan H.
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