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A construction company can remove 3/4 tons of dirt from a construction site each hour. How long will it take them to remove 24 tons of dirt from the site?

User Scandalous
by
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1 Answer

2 votes

Answer:

32 hours

Explanation:

Given


Rate= (3)/(4)\ tons\ per\ hour

Required

Determine time taken for 24 tons

As used in this question, Rate is the ratio of tons of dirt to time.

i.e.


Rate = (Tons\ of\ Dirt)/(Time)

Let t represents time when tons of dirt is 24 tons:


Rate = (24)/(t)

Recall that:
Rate= (3)/(4)\ tons\ per\ hour

So, we have


(24)/(t) = (3)/(4)

Cross Multiply


3 * t = 24 * 4

Divide both sides by 3


t = 8 * 4


t = 32

Hence, time taken is 32 hours

User Krithika Vittal
by
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