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 75 mL/hr.

Volume100 mL
Rate75 mL/hr

How long will the infusion take (hours)?

Answer: 1.33 hr

Step-by-step solution

1. Divide the volume by the rate
100 mL ÷ ( 75 mL ÷ 1 hr )
2. Cancel mL and solve for hours
= 100 ÷ 75 hr
= 1.33 hr
3. Convert the decimal hours to hours and minutes
1.33 hr = 1 hr 20 min
= 1 hr 20 min

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

Volume100 mL
Rate100 mL/hr

How long will the infusion take (hours)?

Answer: 1 hr

Step-by-step solution

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

An IV pump is running 100 mL of 0.9% normal saline at 75 mL/hr.

Volume100 mL
Rate75 mL/hr

How long will the infusion take (hours)?

Answer: 1.33 hr

Step-by-step solution

1. Divide the volume by the rate
100 mL ÷ ( 75 mL ÷ 1 hr )
2. Cancel mL and solve for hours
= 100 ÷ 75 hr
= 1.33 hr
3. Convert the decimal hours to hours and minutes
1.33 hr = 1 hr 20 min
= 1 hr 20 min