Final answer:
To determine the total time for both activities, add 5/8 of an hour (37.5 minutes or 0.625 hours) to 2.5 hours. The sum is 3.125 hours, which is also 3 hours and 7.5 minutes.
Step-by-step explanation:
To calculate the total time taken to complete both the killer whale show and the guided tour at the wildlife park, we need to add the time for both activities. The killer whale show lasts for 5/8 of an hour, and the guided tour takes 2(1/2) hours or 2.5 hours. To perform the addition, we should first convert 5/8 of an hour into a decimal or a mixed number to make it easier to add to 2.5 hours.
Since there are 60 minutes in an hour, 5/8 of an hour is equivalent to (5/8)*60 minutes, which is 37.5 minutes or 0.625 hours. Now, we add 0.625 hours (killer whale show) to 2.5 hours (guided tour).
0.625 hours + 2.5 hours = 3.125 hours
Therefore, it will take 3.125 hours in total to complete both activities. If we want to express this time in hours and minutes, we would multiply the decimal part by 60 to get the minutes. So, 0.125 hours is equivalent to 7.5 minutes, and the total time is 3 hours and 7.5 minutes.