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6. A 4-ton dump truck pours out 3/8 of a ton of sand in 2 7/10

minutes. If the truck
continues to pour at this rate, will there
be any sand left after 30 minutes?

User Fpdragon
by
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1 Answer

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Answer:

no

Explanation:

The amount of sand left in the truck after t minutes is ...

remaining = 4 -(3/8)/(2 7/10)t

That is, the rate at which the amount is decreasing is 3/8 ton per 2 7/10 minutes, or ...

(3/8)/(2 7/10) = (15/40)/(108/40) = 15/108 = 5/36 . . . tons per minute

The time required for the remaining amount to be zero is ...

remaining = 0 = 4 -5/36t

t = 4(36/5) = 28.8 . . . minutes

There will not be any sand left after 30 minutes. It will have run out after 28.8 minutes.

6. A 4-ton dump truck pours out 3/8 of a ton of sand in 2 7/10 minutes. If the truck-example-1
User Arman Charan
by
4.9k points