Respuesta :
Answer:
Therefore the towns are apart 225 miles.
Step-by-step explanation:
Given that, Donna travels from one town to another town at a speed of 45 mph.
Assume that, x be the distance that was traveled by Donna .
We know that,
[tex]Time=\frac{Distance}{Speed}[/tex]
So, Donna takes [tex]\frac{x}{45}[/tex] hours for the tripe.
She could've made the trip in a half an hour less time,if she traveled 5 mph faster,
Now she could made the trip in [tex]=\frac{distance}{speed}[/tex]
[tex]=\frac{x}{45+5}[/tex]
[tex]=\frac{x}{50}[/tex] hours.
According to the problem,
[tex]\frac{x}{45}-\frac{x}{50}=\frac{1}{2}[/tex]
[tex]\Rightarrow \frac{10x-9x}{450}=\frac12[/tex]
[tex]\Rightarrow \frac{x}{450}=\frac12[/tex]
[tex]\Rightarrow x=\frac{450}2[/tex]
[tex]\Rightarrow x=225[/tex] miles
Therefore the towns are apart 225 miles.
