Question

How to find the distance rate and time for : Donna's late for a sales meeting after traveling from one town to another or the speed of 45 mph. If she traveled 5 mph faster, she could've made the trip in a half an hour less time how far apart are the towns?

Answer 1

Therefore the towns are apart 225 miles.

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,

`Time=(Distance)/(Speed)`

So, Donna takes
`(x)/(45)` 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
`=(distance)/(speed)`

`=(x)/(45+5)`

`=(x)/(50)` hours.

According to the problem,

`(x)/(45)-(x)/(50)=(1)/(2)`

`\Rightarrow (10x-9x)/(450)=\frac12`

`\Rightarrow (x)/(450)=\frac12`

`\Rightarrow x=\frac{450}2`

`\Rightarrow x=225` miles

Therefore the towns are apart 225 miles.