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Infusion Time

Infusion time answers “how long will this take?” when you know the volume and the rate in mL/hr.

In this lesson

  • The volume ÷ rate formula
  • Turning decimal hours into hours and minutes
  • Why 0.5 hr is 30 minutes

What you're solving for

Time — first in hours, then usually written as hours and minutes.

Volume in milliliters divided by rate in milliliters per hour equals time in hours

Decimal hours to hours and minutes

The whole number is the hours. Multiply the decimal part by 60 to get minutes. An hour has 60 minutes, not 100, so 0.5 hr = 30 min, not 50 min, and 0.75 hr = 45 min.

decimal part of the hours times 60 equals minutes

Worked examples

Example 1: A whole number of hours

500 mL at 100 mL/hr.

  1. Step 1: Formula

    Volume (mL) ÷ Rate (mL/hr) = Time (hr)

  2. Step 2: Calculation

    500 mL ÷ 100 mL/hr

    = 5 hr

Answer: 5 hr

Example 2: Half an hour

250 mL at 100 mL/hr.

2.5 hr → 2 hr + 0.5 × 60 min.

  1. Step 1: Formula

    Volume (mL) ÷ Rate (mL/hr) = Time (hr)

  2. Step 2: Calculation

    250 mL ÷ 100 mL/hr

    = 2.5 hr

  3. Step 3: Convert the part hour to minutes

    Whole hours: 2

    0.5 hr × 60 = 30 min

    = 2 hr 30 min

Answer: 2 hr 30 min

Example 3: Hours and minutes

1,000 mL at 120 mL/hr.

  1. Step 1: Formula

    Volume (mL) ÷ Rate (mL/hr) = Time (hr)

  2. Step 2: Calculation

    1,000 mL ÷ 120 mL/hr

    = ≈ 8.3333 hr

  3. Step 3: Convert the part hour to minutes

    Whole hours: 8

    ≈ 0.3333 hr × 60 = 20 min

    = 8 hr 20 min

Answer: 8 hr 20 min

Example 4: Less than an hour

150 mL at 200 mL/hr.

  1. Step 1: Formula

    Volume (mL) ÷ Rate (mL/hr) = Time (hr)

  2. Step 2: Calculation

    150 mL ÷ 200 mL/hr

    = 0.75 hr

  3. Step 3: Convert the part hour to minutes

    Whole hours: 0

    0.75 hr × 60 = 45 min

    = 45 min

Answer: 45 min

Common mistakes

Reading decimal hours as minutes

What goes wrong
2.5 hr written as 2 hr 50 min
Why it fails
The .5 is half of 60 minutes.
Correct approach
2.5 hr = 2 hr 30 min

Dividing rate by volume

What goes wrong
100 mL/hr ÷ 500 mL = 0.2
Why it fails
That's the fraction of the bag per hour, not hours.
Correct approach
500 mL ÷ 100 mL/hr = 5 hr

Quick self-check

900 mL at 200 mL/hr?

Show the answer

900 ÷ 200 = 4.5 hr = 4 hr 30 min

Calculate and practice

Related lessons

Sources

Explanations are original Dosage Calcs wording. See all sources and the methodology.

Educational Use & Safety

Educational content only. These lessons teach medication math using fictional values and do not determine an appropriate medication, dose, infusion rate, or treatment for an actual patient.

Educational Use & Safety