Question

Two small children were playing a game. The goal of the game was to be the first one to reach the door. The children started the game by standing 20 feet away from the door, and then they each took a turn to do the following: Child A moved one half the distance between herself and the door on each move. Child B moved one foot toward the door on each move. 1. How far was each child from the door after the first move? 2. After four moves, which child was closer to the door? 3. Child A claimed that the game was unfair because she would never reach the door. Explain why her statement is correct or incorrect.

Answer 1

Answer:

1.

Child A - 10 feet from initial position.

Child B - 1 feet from initial position.

2.

After 4 moves,

Child A - 40 feet away from initial position.

Here, the child A has crossed the door with 20 feet more than the required distance.

Child B - 4 feet

3.

The game is really not fair because child A can move 10 times faster than child B.