Question
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The nurse claim that a 4 -litre drip with a Drip Factor of \( 20 \mathrm{gtt} / \mathrm{ml} \) and a drip rate of 300 gtt min with take mrore than 266 minutes to finish. The doctor claim that the drip will take less than 266 minutes to fi Use calculations to verify who is correct.

Ask by Schofield Greene. in South Africa
Feb 25,2025

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Tutor-Verified Answer

Answer

The drip will take approximately 266.67 minutes to finish, so the nurse is correct that it takes more than 266 minutes.

Solution

Step 1: Convert the volume to millilitres.   4 litres = 4000 ml Step 2: Determine the total number of drops.   Drip factor = 20 gtt/ml   Total drops = 4000 ml × 20 gtt/ml = 80,000 gtt Step 3: Calculate the time required by using the drip rate.   Drip rate = 300 gtt/min   Time = Total drops ÷ Drops per minute = 80,000 gtt ÷ 300 gtt/min ≈ 266.67 minutes Conclusion: The calculated time is approximately 266.67 minutes, which is just over 266 minutes. Therefore, the nurse's claim (that it takes more than 266 minutes) is correct, and the doctor’s claim (that it takes less than 266 minutes) is incorrect.

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To verify who is correct, we first need to calculate the total number of drops in the 4-litre drip and then determine the time it will take to finish at the given drip rate. 1. Convert litres to millilitres: \[ 4 \, \text{litres} = 4,000 \, \text{ml} \] 2. Calculate the total number of drops: \[ \text{Total drops} = \text{Volume in ml} \times \text{Drip Factor} = 4,000 \, \text{ml} \times 20 \, \frac{\text{gtt}}{\text{ml}} = 80,000 \, \text{gtt} \] 3. Now, calculate the time taken at the drip rate of 300 gtt/min: \[ \text{Time (in minutes)} = \frac{\text{Total drops}}{\text{Drip rate}} = \frac{80,000 \, \text{gtt}}{300 \, \text{gtt/min}} \approx 266.67 \, \text{minutes} \] Since this calculated time of approximately 266.67 minutes is more than 266 minutes, the nurse is correct. The doctor’s claim of it taking less than 266 minutes is therefore incorrect.

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