Question

in 12 min 463.2 gallons of water flowed from a 2 inch pipe in 7 minutes 1730.4 gallons of water flowed from a 4-inch pipe based on the data what is the difference in flow rate between a 2inch and 4inch pipe?

Answer 1

To find the difference in flow rate between the 2-inch pipe and the 4-inch pipe, we'll first calculate the flow rate for each pipe.

### For the 2-inch pipe:
**Water Flow:** 463.2 gallons
**Time:** 12 minutes
**Flow Rate (2-inch pipe):**
\[
\text{Flow Rate} = \frac{\text{Water Flow}}{\text{Time}} = \frac{463.2 \text{ gallons}}{12 \text{ minutes}} = 38.60 \text{ gallons per minute (gpm)}
\]

### For the 4-inch pipe:
**Water Flow:** 1730.4 gallons
**Time:** 7 minutes
**Flow Rate (4-inch pipe):**
\[
\text{Flow Rate} = \frac{\text{Water Flow}}{\text{Time}} = \frac{1730.4 \text{ gallons}}{7 \text{ minutes}} = 247.20 \text{ gallons per minute (gpm)}
\]

### Difference in Flow Rate:
Now we can find the difference in flow rates between the two pipes:
\[
\text{Difference} = \text{Flow Rate}_{4-inch} - \text{Flow Rate}_{2-inch} = 247.20 \text{ gpm} - 38.60 \text{ gpm} = 208.60 \text{ gpm}
\]

### Conclusion:
The difference in flow rate between the 4-inch pipe and the 2-inch pipe is **208.60 gallons per minute (gpm)**.