If you have a flow rate of 2 GPM and a cylinder with a capacity of 1 gallon, how long would it take the cylinder to extend fully?

To determine how long it would take for the cylinder to extend fully at a flow rate of 2 gallons per minute (GPM) and a cylinder capacity of 1 gallon, you can start by understanding the relationship between flow rate and time.

Since the flow rate is given as 2 GPM, this means that the system can fill 2 gallons in one minute. To calculate the time it takes to fill the cylinder, you can use the formula:

Time = Volume / Flow Rate

Here, the volume of the cylinder is 1 gallon, and the flow rate is 2 gallons per minute. Plugging these values into the formula gives:

Time = 1 gallon / 2 gallons per minute = 0.5 minutes

To convert this time into seconds, you can multiply by 60 (since there are 60 seconds in a minute):

0.5 minutes × 60 seconds/minute = 30 seconds

Thus, it will take 30 seconds for the cylinder to extend fully. This reasoning solidifies the understanding of how flow rates work in relation to the volume being filled, leading to the conclusion that the correct answer is indeed 30 seconds.