In 4 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 20 minutes. if both belts are used, find how long it takes to move the cans to the storage area.

Question

Physics

Boston Stevens

6 May, 14:01

In 4 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 20 minutes. if both belts are used, find how long it takes to move the cans to the storage area.

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Answers (1)

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Levi Hartman · Answer 1

The answer is 1.5 minutes

let t = time required when both belts are used

Let the completed job = 1 (moving 300 lb)

1/2+1/6=1

Multiply by 6

6*t/2 + 6*t/6 = 6

6t/2+6t/6=6

3t + 1t = 6

4t = 6

t = 6/4

t = 1.5 min