How far is the rest stop

Question

The sign says you are leaving Missoula, Butte is 120 mi away and Bozeman is 200 mi away. There is a erst stop halfway between Butte and Bozeman. How far is the rest stop from Missoula if both Butte and Bozeman are in the same direction?

Answer 1

First, the distance between Bozeman and Butte is 200-120 = 80 miles.

So, the rest stop is halfway between them 80/2 = 40 miles

 

Therefore, the rest stop is 40 miles past Butte which is 120 + 40 = 160 miles from Missoula.