Answer :
2.14 kilometers of road is built each day
Solution:
Given that road is 10 kilometers long
The crew worked for [tex]4\frac{2}{3}[/tex] days
To find: Kilometers of road build each day
Assume they built the same amount each day
Length of road = 10 km
number of days worked = [tex]4\frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3}[/tex]
Kilometers of road build each day is given as:
Kilometers of road build each day = total length of road divided by number of days the crew worked
[tex]\rightarrow \frac{10}{\frac{14}{3}}=\frac{10}{1} \times \frac{3}{14}=2.14[/tex]
Thus 2.14 kilometers of road is built each day