Final answer:
The team will meet their goal if the expected time is less than 53.18 seconds.
Step-by-step explanation:
To determine if it's possible for the team to fail to meet their goal, we need to compare the last athlete's fastest time with the expected time in the current race. If we assume that the athlete's slowest time is equal to the average time, which is 53.92 seconds, then the inequality can be written as:
53.18 < x, where x is the expected time in the current race.
Since the last athlete expects to run faster than his slowest time, the team will meet their goal if the expected time is less than 53.18 seconds.