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A construction company needs to remove 2 1/6 tons of dirt from a construction site. they can remove 7/8 of dirt each hour. what is the total number of hours it will take to remove the dirt each hour? write your answer as a mixed number and simplest form.

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EnderCcron

Answer: 2.357hrs

Step-by-step explanation:

Rate of dirt removal (rate) = 7/8 tons/hr

Total dirt removed (dirt) = 2 1/16 tons

Each hour, 7/8 tons of dirt will be removed, so if you work for h hours, you will have removed 7/8 * x tons of dirt. You can set up an equation as follows:

7/8 tons/hr * h hr = 2 1/16 tons (see how the units work out to give you tons)

Rearrange and solve for h:

h = (2 1/16) / (7/8) = 33/14 hrs = 2.357hrs
Answer above is correct :)) hope this helps!