Question

As you leave​ Clark, the sign says Lutherville 145 ​miles, Otisburg 195 miles. If the Planet Diner is halfway between Lutherville and ​Otisburg, how far is it from​ Clark?

Answer 1

Answer:

Therefore Planet Diner is located 170 miles from Clark.

Step-by-step explanation:

We are given our origin, which is Clark (C) and three Locations as Lutherville (L), Otisburg (O) and Planet Diner (PD).

We know that the distance between Clark and Lutherville is 145 miles.

We know that the distance between Clark and Otisburg is 195 miles.

We also know that Planet Diner is halfway between Lutherville and Otisburg, thus exactly in between them.

So if we can find the position of Planet Diner between Lutherville and Otisburg,  we will automatically know its distance from Clark, since Clark is the reference origin for ALL locations.

Thus we have

$PD=\frac{L+O}{2}$

$PD=\frac{195+145}{2}$

$PD=\frac{340}{2}$

$PD=170$

Therefore Planet Diner is located 170 miles from Clark.