Ted did the most work because he applied a greater force.
To determine who did the most work between Bill and Ted, we use the formula for work:
Work = Force × Distance.
Since both individuals are pushing on the same wall, the distance remains constant. Therefore, the person exerting the greater force will perform more work. In this scenario, Ted applies a force of 150 newtons, surpassing Bill's force of 75 newtons.
Work is directly proportional to force, meaning the greater the force applied, the more work is done. Thus, Ted, with his higher force of 150 newtons, did more work compared to Bill. This conclusion holds under the assumption that the distance each person pushed remained the same.