Question

To help you determine how long it will take to fill the pool, you first measure how long it takes to fill a 5-liter bucket. You determine that it takes forty seconds to fill the bucket with a garden hose. How many liters per minute does the garden hose release?

a) 7.5 liters per minute
b) 6 liters per minute
c) 5 liters per minute
d) 8 liters per minute

Answer 1

To calculate how many liters per minute a garden hose releases, divide the volume of water by the time taken to fill that volume converted into minutes. A 5-liter bucket filled in 40 seconds equates to a flow rate of 7.5 liters per minute, so option (a) is correct.

Step-by-step explanation:

The question is asking us to find the liters per minute that a garden hose can release if it fills a 5-liter bucket in forty seconds. To calculate this, we'll convert the time to minutes and then determine the flow rate.

Step-by-step Calculation

1. Measure the time it takes to fill a known volume (in this case, 5 liters).
2. Calculate how much time this takes in minutes: 40 seconds is equal to ⅓ minutes (⅓ = 40/60).
3. To find the flow rate in liters per minute, divide the volume (5 liters) by the time in minutes (⅓).
4. This results in a flow rate of 7.5 liters per minute (because 5 L / (⅓ min) = 7.5 L/min).

Therefore, option (a) 7.5 liters per minute is the correct answer.