NON-TRANSITORY COMPUTER-READABLE STORAGE MEDIUM HAVING GAME PROGRAM STORED THEREIN, GAME APPARATUS, GAME PROCESS METHOD, AND GAME SYSTEM

A first game which advances independently of a plurality of opponent's game processes is started at the same start timings as the opponents. In the first game, a player object is controlled, a time limit is decreased with elapse of time, a time limit is increased if the player object has successfully performed a predetermined action, and advancement of the first game is ended when the time limit reaches zero. In addition, first game state data is transmitted to second information processing apparatuses, and second game state data is acquired from the second information processing apparatuses. Then, a display image including a first image based on the first game state data and a second image based on the second game state data is sequentially generated. If the first game is ended, evaluation relative to the opponents is performed in accordance with elapsed time since the start of the first game.