The nurse clalm of \( 20 \mathrm{gtt} / \mathrm{ml} \) and a drip rate of \( 300 \mathrm{gtt/min} \) will take more than 266 minutes to finish. The doctor claim that the drip will take less than 266 minutes Use calculations to verify who is correct.

To determine who's correct, we can calculate the total volume in milliliters and then find out how long it will take to administer that volume at the given drip rate. Assuming we have an IV solution with a total volume that needs to be administered (let's denote it as \( V \) in ml). The nurse claims that at a drip rate of \( 300 \, \text{gtt/min} \) and a drop factor of \( 20 \, \text{gtt/ml} \): 1. **Calculate the total volume using the drip rate**: \[ \text{Drip rate in ml/min} = \frac{300 \, \text{gtt/min}}{20 \, \text{gtt/ml}} = 15 \, \text{ml/min} \] 2. **Calculate the time in minutes to administer the total volume**: \[ \text{Time (in min)} = \frac{V \, \text{(ml)}}{15 \, \text{(ml/min)}} \] For the nurse's claim to be true, the time should be more than 266 minutes: \[ \frac{V}{15} > 266 \implies V > 15 \times 266 \implies V > 3990 \, \text{ml} \] For the doctor’s claim to be true, the time should be less than 266 minutes: \[ \frac{V}{15} < 266 \implies V < 15 \times 266 \implies V < 3990 \, \text{ml} \] Thus, if \( V \) is anywhere below or above 3990 ml, we can determine who’s right. If \( V \) is more than 3990 ml, the nurse is correct; if it's less, the doctor is right.