Question

It’s a Saturday morning and Alexis has discovered he has a leak comin from the heater in the attic. Since plumbers charge extra to come out on weekends, Alexis is planning to use buckets to catch the drilling waster. He places a bucket under the drip and steps outside to walk the dog. In 12 mins the bucket is 2/5 of the way full. What is the unit rate at which the water is leaking in buckets per hour

Answer 1

The water from Alexis's heater is leaking at a unit rate of 2 buckets per hour.

Step-by-step explanation:

The question asks you to determine the unit rate at which water is leaking from the heater in terms of buckets per hour. To solve this, we first understand that in 12 minutes, the bucket is 2/5 full. We first convert this fraction to a decimal to make calculations easier, which equals 0.4 buckets. Next, we calculate the unit rate by dividing the number of buckets by the number of hours. Since 12 minutes is 1/5 of an hour, we multiply the 0.4 buckets by 5 to find the unit rate per hour.

Here is the calculation:

• Unit rate = (0.4 buckets / 12 minutes) × (60 minutes / 1 hour)
• Unit rate = (0.4 buckets / (1/5) hour)
• Unit rate = 0.4 buckets × 5
• Unit rate = 2 buckets per hour

Therefore, the water is leaking at a unit rate of 2 buckets per hour.