Question

Wo friends drive off in different directions from the same place. one heads north at 40 miles per hour, while the other heads east at 35 miles per hour. complete an equation for the distance between the friends after t hours. distance = preview

Answer 1

The distance between the friends at the end of one hour can be found from the Pythagorean theorem to be
.. d = √(40^2 +35^2) = √2825 = 5√113 ≈ 53.15 . . . . miles

Since the friends are continuing in the same directions at the same speeds, their distance apart will increase by this amount each hour.

distance = t*5√113 . . . . miles after t hours