The problem asks us to calculate the flow rate (debit) of a hose that dispenses 1100 ml of water, and the operation lasts from 9h15min to 10h05min.

Applied MathematicsRateUnit ConversionVolumeTime
2025/5/5

1. Problem Description

The problem asks us to calculate the flow rate (debit) of a hose that dispenses 1100 ml of water, and the operation lasts from 9h15min to 10h05min.

2. Solution Steps

First, we need to determine the duration of the operation in minutes. The operation starts at 9h 15min and ends at 10h 05min.
The duration is calculated as the difference between the end time and the start time.
Duration in hours: 10 - 9 = 1 hour.
Duration in minutes: 5 - 15 = -10 minutes.
Since the minutes are negative, we need to convert 1 hour into 60 minutes. So, the duration is (1 - 1) hour + (60 + 5 - 15) minutes = 0 hours and 50 minutes.
So the duration is 50 minutes.
Now, we convert this duration to seconds.
50 minutes×60 seconds/minute=3000 seconds50 \text{ minutes} \times 60 \text{ seconds/minute} = 3000 \text{ seconds}
The volume of water dispensed is 1100 ml.
We need to convert this to liters.
1100 ml=1.1 L1100 \text{ ml} = 1.1 \text{ L}
The flow rate (debit) is calculated as the volume of water divided by the time.
Flow rate=VolumeTime\text{Flow rate} = \frac{\text{Volume}}{\text{Time}}
The volume is 1.1 liters and the time is 3000 seconds.
Flow rate in liters per second:
Flow rate=1.1 L3000 s=0.00036666667 L/s\text{Flow rate} = \frac{1.1 \text{ L}}{3000 \text{ s}} = 0.00036666667 \text{ L/s}
Since the problem description contains ml, it might be useful to get the flow rate in ml/s.
Flow rate=1100 ml3000 s=1130 ml/s0.3667 ml/s\text{Flow rate} = \frac{1100 \text{ ml}}{3000 \text{ s}} = \frac{11}{30} \text{ ml/s} \approx 0.3667 \text{ ml/s}
However, it is more common to express the flow rate in liters per minute or liters per second.
Let us compute the flow rate in liters per minute. Since there are 50 minutes the hose delivers 1.1 liters, the flow rate is
Flow rate=1.1 L50 min=0.022 L/min\text{Flow rate} = \frac{1.1 \text{ L}}{50 \text{ min}} = 0.022 \text{ L/min}

3. Final Answer

The flow rate is 0.022 L/min.
Alternatively, the flow rate is 0.3667 ml/s.
Or, the flow rate is 0.0003667 L/s.

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