Final answer:
To calculate the time it will take for the patient to receive 20mg of the IV medication, set up a proportion and solve for x. The patient will receive the medication in approximately 40 minutes.
Step-by-step explanation:
To calculate the time it will take for the patient to receive 20mg of the IV medication, we can use the concentration and infusion rate information provided.
The concentration of the IV medication is given as 50mg in 100ml. This means that there are 0.5mg of medication in each 1ml of solution.
The patient is receiving the infusion at a rate of 0.3ml/min. To find the time it will take to receive 20mg of medication, we can set up a proportion:
0.5mg / 1ml = 20mg / x ml
Cross-multiplying and solving for x, we find that x = 40ml.
Therefore, it will take the patient approximately 40 minutes to receive 20mg of the medication.