A construction crew has just finished building a road. The road is 10 kilometers long. If the crew worked for 3 3/4 days, how many kilometers of road did they build each day? (Assume they built the same amount each day.) Write your answer as a mixed number in simplest form.

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28-10-2022
Mathematics

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A construction crew has just finished building a road. The road is 10 kilometers long. If the crew worked for 3 3/4 days, how many kilometers of road did they build each day? (Assume they built the same amount each day.) Write your answer as a mixed number in simplest form.

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JenayJ572581 JenayJ572581 · Answer 1 · 2022-10-28T05:34:51+02:00

[tex]\begin{gathered} \text{They built;} \\ 2\frac{2}{3}\text{ km daily} \end{gathered}[/tex]

Here, we want to get the number of kilometers of road built each day

We have this as follows;

We can get this by dividing the number of kilometers by the number of days it took to build the road

We have this as;

[tex]\begin{gathered} 10\text{ divided by 3}\frac{3}{4} \\ \\ =\text{ 10 divided by }\frac{15}{4} \\ \\ =\text{ 10 }\times\frac{4}{15}\text{ = }\frac{40}{15}\text{ = }\frac{8}{3}\text{ = 2}\frac{2}{3}\text{ days} \end{gathered}[/tex]