Respuesta :
Answer: It will take [tex]7\dfrac{1}{3}[/tex] weeks to repair this stretch of road.
Step-by-step explanation:
Since we have given that
Part of road needs repair = [tex]16\dfrac{1}{2}=\dfrac{33}{2}[/tex]
Part of road worker can repair per week = [tex]2\dfrac{1}{4}=\dfrac{9}{4}[/tex]
We need to find the number of weeks that it will take to repair this stretch of road.
So, Number of weeks is given by
[tex]\dfrac{33}{2}\div \dfrac{9}{4}\\\\=\dfrac{33}{2}\times \dfrac{4}{9}\\\\=\dfrac{66}{9}\\\\=\dfrac{22}{3}\\\\=7\dfrac{1}{3}[/tex]
Hence, it will take [tex]7\dfrac{1}{3}[/tex] weeks to repair this stretch of road.
Answer:
[tex]7\frac{1}{3}\text{ weeks}[/tex]
Step-by-step explanation:
Given,
Total distance have to stretch = [tex]16\frac{1}{2}[/tex] km,
Also, the distance repaired by workers each week = [tex]2\frac{1}{4}[/tex] km,
Thus, the number of weeks required to repair whole distance
[tex]=\frac{\text{Total distance have to stretch}}{\text{Distance repaired in one week}}[/tex]
[tex]=\frac{16\frac{1}{2}}{2\frac{1}{4}}[/tex]
[tex]=\frac{\frac{33}{2}}{\frac{9}{4}}[/tex]
[tex]=\frac{66}{9}[/tex]
[tex]=7\frac{1}{3}[/tex]
