Final answer:
After 45 minutes fill 2/5 of the container, an additional 5 increments of 15 minutes are needed to completely fill the container, totaling 67.5 minutes to fill the remaining 3/5.
Step-by-step explanation:
Given that 3/4 hr or 45 minutes fills a container 2/5 of the way, we can calculate the full time to fill the container by scaling the provided information. First, if 45 minutes fills 2/5 of the container, it implies that to fill the remaining 3/5 of the container, we will need additional time. We use a ratio to find this time: (45 minutes / 2) * 3 = 67.5 minutes to fill the rest of the container. Finally, we need to determine how many 15-minute increments fit into 67.5 minutes. Dividing 67.5 by 15 gives us 4.5 increments of 15 minutes. However, since you cannot have a half increment, we would need to round up to 5 increments. Therefore, an additional 5 increments of 15 minutes are needed to completely fill the container.