In order to quickly get people between terminals in the Minneapolis Airport, long “people mover” conveyor belts were installed. Assume that if someone stood still on a conveyor belt, that person would travel $2$ feet per second.

1. Since Jung is in a hurry, he decided to walk on the conveyor belt (in the same direction he would travel standing still). If his terminal is $300$ feet away and he wants to get there in $60$ seconds, how fast does he need to walk with respect to the conveyor belt? (Assume he can ride the conveyor belt the entire distance.)

   Hint (a):

   If Jung just stood on the conveyor belt, how far would he travel in 60 seconds?
   How much farther would he need to travel?

   Step 1(a):

   Jung would travel $(2)(60)$ or $120$ feet if he just stood on the belt.

   Step 2(a):

   Jung would need to make up a distance of $180$ feet in $60$ seconds by walking.

   Answer (a):

   $3$ feet per second

2. Jacob, who is four years old, decided it would be fun to walk on the conveyor belt in the “wrong” direction (i.e., in the direction opposite to which he would travel if standing still). If he walks for $18$ seconds at a rate of $1$ foot per second, how far will he travel? In what direction does he travel? Explain.

   Hint (b):

   Jacob is walking backwards at a rate of $1$ foot per second, but the belt is moving him forwards at a rate of $2$ feet per second.