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# Math help?

In 4 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from 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... How many minutes will it take.

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- AshLv 71 month ago
Conveyor belt completes the job in 4 min,

so in 1 min, it will finish ¼ of total work

Smaller belt completes the job in 20 min,

so in 1 min, it will finish ½₀ of total work

Working together, in 1 min, the belts will do (¼ + ½₀) of total work

So for total work they will need 1/ (¼ + ½₀) minutes

= 1/(6/20)

= 20/6

= 3.3 min

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