The following research paper provides a theoretical study on the weight, experienced by a person, traveling in an elevator, known as the apparent weight and its dependence on time. This apparent weight may be different from the actual weight, considering the fact that it is caused due to the net upward force from the ground of the elevator onto the man. It is due to this phenomenon that we sometimes feel heavier and sometimes lighter when traveling in an elevator. To find this dependence of apparent weight on time, we will also be determining the ratio of the apparent weight and the actual weight, and the fractional change of weight. Following this, the various graphical representations will be presented, showing the dependence of the velocity and the acceleration of the elevator and the ration of the apparent and the actual weight with time. To evaluate the overall comfort, a new variable, namely the Comfort Level (CL) will be introduced. As a whole, this paper aims to evaluate the overall mathematics behind the change in apparent weight during a journey in an elevator, going far beyond the qualitative study done in schools and textbooks.