Final answer:
To equally distribute the load between two people carrying a 100-pound crate on a 12-foot board, the crate should be placed in the middle of the board.
Step-by-step explanation:
The goal is to ensure that the 100-pound crate on a board is positioned in such a way that the weight is distributed evenly between two people carrying it. Since the board is 12 feet long, placing the crate in the middle of the board would mean each person would carry half the weight. If the crate were to be placed 2 feet from one end (option a), 3 feet from one end (option c), or if someone assumes the load can't be evenly distributed (option d), that would result in an uneven distribution of weight and one person would bear more load than the other. The correct answer is to place the crate in the middle of the board (option b), ensuring that each person is carrying an equal weight, assuming the board's own weight is negligible or its weight is also evenly distributed when carried.