Final answer:
To find out how long it would take for the robot to complete one task, we can use the concept of proportions. It would take the robot 3/20 hours, or 9 minutes, to complete one task.
Step-by-step explanation:
To find out how long it would take for the robot to complete one task, we can use the concept of proportions. Since the robot completes 5 tasks in 3/4 hours, we can set up the proportion:
5 tasks / 3/4 hours = 1 task / x hours
To solve this proportion, we can cross multiply and then solve for x:
5 * x = 1 * (3/4)
x = (3/4) / 5 = 3/20 hours
Therefore, it would take the robot 3/20 hours, or 9 minutes, to complete one task.