Dosage calculation

IV infusion time calculation

Infusion-time problems tell you the volume and the pump rate and ask how long the bag will last. Divide volume by rate to get decimal hours, then convert the decimal part to minutes to document a completion time.

The formula

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

How to solve it

  1. Divide the volume (mL) by the rate (mL/hr) to get decimal hours.
  2. Keep the whole-number hours.
  3. Multiply the decimal part of an hour by 60 to convert it to minutes.

Common mistakes

  • Reading the decimal hours as minutes (0.5 hr is 30 min, not 50 min).
  • Forgetting to add the infusion time to the start time when charting a finish time.
Safety check: 0.25 hr = 15 min, 0.5 hr = 30 min, 0.75 hr = 45 min. Convert the decimal, do not read it as minutes.

Worked examples

See it solved

An IV pump is running 100 mL of 0.9% normal saline at 150 mL/hr.

Volume100 mL
Rate150 mL/hr

How long will the infusion take (hours)?

Answer: 0.67 hr

Step-by-step solution

1. Divide the volume by the rate
100 mL ÷ ( 150 mL ÷ 1 hr )
2. Cancel mL and solve for hours
= 100 ÷ 150 hr
= 0.67 hr
3. Convert the decimal hours to hours and minutes
0.67 hr = 40 min
= 40 min

An IV pump is running 250 mL of 0.9% normal saline at 125 mL/hr.

Volume250 mL
Rate125 mL/hr

How long will the infusion take (hours)?

Answer: 2 hr

Step-by-step solution

1. Divide the volume by the rate
250 mL ÷ ( 125 mL ÷ 1 hr )
2. Cancel mL and solve for hours
= 250 ÷ 125 hr
= 2 hr
3. Convert the decimal hours to hours and minutes
2 hr = 2 hr
= 2 hr

An IV pump is running 100 mL of 0.9% normal saline at 40 mL/hr.

Volume100 mL
Rate40 mL/hr

How long will the infusion take (hours)?

Answer: 2.5 hr

Step-by-step solution

1. Divide the volume by the rate
100 mL ÷ ( 40 mL ÷ 1 hr )
2. Cancel mL and solve for hours
= 100 ÷ 40 hr
= 2.5 hr
3. Convert the decimal hours to hours and minutes
2.5 hr = 2 hr 30 min
= 2 hr 30 min