Kangaroo

There are two kangaroos on a number line ready to jump in the positive direction. Each kangaroo takes the same amount of time to make a jump, regardless of distance. That is, if kangaroo one jumps 3 meters and kangaroo two jumps 5 meters, they each do it in one second, for example. Given the starting locations and jump distances for each kangaroo, determine if and when they will land at the same location at the same time. [Read More]

Apple and Orange

Sam’s house has an apple tree and an orange tree that yield an abundance of fruit. Sam’s two children, Larry and Rob, decide to play a game in which they each climb a tree and throw fruit at their (Sam’s) house. Each fruit that lands on the house scores one point for the one who threw it. Larry climbs the tree on the left (the apple), and Rob climbs the one on the right (the orange). [Read More]