Question

A construction crew has just finished building a road. The crew worked for 2 3/8 days. If they built 3 1/5 kilometers of road each day, what is the total length of road they built?Write your answer as a mixed number in simplest form.

Answer 1

Given the question in the question tab, the following are the solution steps to answer the question

STEP 1: Write the rate at which the construction crew built the road

`1\text{ day = }3(1)/(5)km`

STEP 2: Calculate the total length of road they built

`\begin{gathered} 1\text{ day = }3(1)/(5) \\ 2(3)/(8)\text{days = x length of road} \\ \text{Converting the mixed fraction to improper fraction, we have:} \\ 3(1)/(5)=((3*5)+1)/(5)=(15+1)/(5)=(16)/(5) \\ 2(3)/(8)=((8*2)+3)/(8)=(16+3)/(8)=(19)/(8) \\ \\ \text{ Rewriting the equation, we have:} \\ 1\text{day}=(16)/(5)km \\ (19)/(8)=x\text{ km} \\ By\text{ cross multiplying, we have;} \\ x*1=(16)/(5)*(19)/(8) \\ x=(304)/(40)km=(38)/(5) \\ \text{Converting to mixed fraction, we have:} \\ 7(3)/(5)km \end{gathered}`

Hence, the total length of road built by the construction crew in 2 3/8 days is:

`7(3)/(5)km`