Final answer:
The rate at which the water is leaking per hour is 1/4 times 1/1.5. The longest time Kerri can be away from the house before the bucket overflows is 6 hours.
Step-by-step explanation:
To find the rate at which the water is leaking per hour, we need to determine how much water is collected in one hour. In one and a half hours, the bucket is 1/4 full, which means that in one hour, the bucket will be 1/4 of that amount. So, the rate of water leaking per hour is 1/4 times 1/1.5.
To find the longest time Kerri can be away from the house before the bucket overflows, we need to determine how long it takes for the bucket to be completely filled. Since it took one and a half hours for the bucket to be 1/4 full, it will take four times that amount of time to fill the bucket completely. So, the longest time Kerri can be away from the house is 6 hours.