## anonymous 5 years ago A troop of scots hiked to the county scout cabin at the rate of 2 miles per hour. They rode back to headquarters at 18 miles per hour. If the round trip took 10 hours, how far is headquarters from the cabin?

Let $$x,y$$ be the times needed to go up and down respectively. Then $$x+y=10$$ and $$\text{distance}=2x=18y$$. So $$x=9y$$ and hence $$10y=10$$. So $$y=1$$ and $$x=9$$. So the distance of the headquarter from the cabin is $$2x=18$$ miles.