Answer:
[tex]7\frac{1}{3}\ weeks[/tex]
Step-by-step explanation:
we know that
To find out how many weeks it will take to repair this stretch of road, divide the total length of the road by the workers' rate
so
[tex]\frac{16\frac{1}{2}}{2\frac{1}{4}}[/tex]
Convert mixed number to an improper fraction
[tex]16\frac{1}{2}\ km=\frac{16*2+1}{2}=\frac{33}{2}\ km[/tex]
[tex]2\frac{1}{4}\ km=\frac{2*4+1}{4}=\frac{9}{4}\ km/week[/tex]
substitute
[tex](33/2)/(9/4)=\frac{132}{18}\ weeks[/tex]
Convert to mixed number
[tex]\frac{132}{18}\ weeks=\frac{126}{18}+\frac{6}{18}=7\frac{1}{3}\ weeks[/tex]
