In 2 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 6 minutes. If both belts are used, find how long it takes to move the cans to the storage area.

rate of larger belt = 300/2 = 150

rate of smaller belt = 300/6 = 50

combined rate = 150+50=200

time at combined rate = 300/200 = 1.5

it will take 1.5 minutes.

incorrect,

6.6.51

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In
5
5 ​minutes, a conveyor belt moves
200
200 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
6
6 minutes. If both belts are​ used, find how long it takes to move the cans to the storage area.
The conveyor belts can move the
200
200 pounds of recyclable aluminum from the delivery truck to a storage area in

2 and eight elevenths
2
8
11
minutes.
​(Simplify your answer. Type an​ integer, fraction, or a mixed​ number.)
Question is complete. Tap on the red indicators to see incorrect answers.


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To solve this problem, we need to determine the rate at which each conveyor belt moves the cans and then calculate the combined rate when both belts are used.

Let's start by finding the rate at which each conveyor belt moves the cans:

The first conveyor belt moves 300 pounds of cans in 2 minutes, so its rate is 300 pounds / 2 minutes = 150 pounds per minute.

The second conveyor belt moves the same quantity of cans, 300 pounds, in 6 minutes, so its rate is 300 pounds / 6 minutes = 50 pounds per minute.

Now, let's calculate the combined rate when both belts are used:

When both belts are used, the rates of the two belts are added together. Therefore, the combined rate is 150 pounds per minute + 50 pounds per minute = 200 pounds per minute.

Finally, to find out how long it takes to move the cans to the storage area using both belts, we need to divide the total quantity of cans (300 pounds) by the combined rate (200 pounds per minute):

Time = Quantity / Rate

Time = 300 pounds / 200 pounds per minute = 1.5 minutes

So, it takes 1.5 minutes to move the cans to the storage area when both conveyor belts are used.

Thank you.