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United States v. Carroll Towing Co. 159 F.2d 169

31 October, 2025
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United States v. Carroll Towing Co. (1947) Explainer: The Hand Formula (B < P×L) | The Law Easy

United States v. Carroll Towing Co. 159 F.2d 169 (2d Cir. 1947)

2d Cir. 1947 159 F.2d 169 Tort / Negligence ~7 min read
hand-formula negligence bargee-duty
Carroll Towing: barge, tug, and harbor scene
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Author: Gulzar Hashmi
Location: India
Published: 2025-10-31
Slug: united-states-v-carroll-towing-co-1947-159-f2d-169
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Quick Summary

Carroll Towing gives us Judge Learned Hand’s test for negligence. Ask: Is the Burden (B) of a safety step less than the Probability of harm (P) multiplied by the Loss if harm occurs (L)? If B < P×L and you still skip the precaution, that is negligence. Here, having a bargee on board during working hours was a small burden compared to the risk and possible loss. So the barge owner shared fault.

Issues

  • Can the barge owner be partly liable for the runaway barge and cargo loss because no attendant (bargee) was aboard when it broke free?

Rules

  • No fixed rule about attendants; the test is reasonableness in context.
  • Hand Formula: If B < P×L → failing to take B is negligent. If B ≥ P×L → not taking B may be reasonable.
Think like this: small burden + meaningful risk + big loss = take the precaution.

Facts (Timeline)

Timeline visual for Carroll Towing events
Barge & Cargo: A railroad-chartered barge carried U.S.-owned flour; it was moored at a pier.
Tug Work: Carroll Towing’s crew boarded and readjusted mooring lines to pull out another barge.
Breakaway: After the adjustments, the barge broke free from her moorings.
Collision & Damage: It struck a tanker; the tanker’s propeller tore a hole; the barge listed and sank, dumping cargo.
No Bargee: Nobody was on board to act; the tug said an attendant could have saved the cargo.

Arguments

Appellants (Barge Owner/Charter)

  • Tug’s negligent handling of moorings caused the breakaway.
  • No fixed duty to keep a bargee aboard at all times.

Respondent (Carroll Towing Co.)

  • With a bargee present, lines could be managed and loss reduced.
  • B < P×L: Keeping an attendant was a light burden versus likely, serious loss.

Judgment

Judgment concept image for Carroll Towing

The court found shared liability. Using the Hand Formula, it held the barge owner was partly negligent for having no attendant during active hours, because the burden of posting a bargee was less than the risk and possible loss of a drifting barge.

Negligence = skipping a cheap precaution when risk × loss is large.

Ratio Decidendi

Reasonableness is a balance. If a reasonable person would take a modest precaution because the expected harm (P×L) outweighs the precaution’s burden (B), then not taking it is negligence.

Why It Matters

  • Gives a workable test for negligence used in courts and classrooms.
  • Shows contributory/fault sharing when multiple actors cause loss.
  • Helps plan cost-effective safety in real operations.

Key Takeaways

  • B < P×L → skipping B is negligent.
  • No rigid “bargee rule”; it’s about context and risk.
  • Shared fault is possible when several acts combine to cause loss.

Mnemonic + 3-Step Hook

Mnemonic: “Cheap Step? Take It.”

  1. List B: What simple precaution is available?
  2. Weigh P×L: How likely? How big is the loss?
  3. Decide: If B < P×L, you must take B.

IRAC Outline

Issue: Are the appellants partly liable for the barge damage and cargo loss because no attendant was aboard?

Rule: B vs P×L — if a precaution’s burden is lower than expected harm, not taking it is negligence.

Application: Busy harbor + tug movements made breakaway risks real. A bargee could have acted quickly. B (attendant) was small; P×L (runaway + big loss) was high.

Conclusion: Appellants were partly liable; failing to post an attendant breached the standard of care.

Glossary

Hand Formula
A balancing test: Burden vs Probability × Loss to judge negligence.
Bargee
An attendant responsible for the barge when moored or in use.
Contributory Fault
When the plaintiff’s or co-defendant’s negligence also helps cause the loss.

FAQs

No. It depends on hours, traffic, weather, and risks. The core is the B vs P×L balance, not a fixed timetable.

Then not taking the precaution may be reasonable. The test does not punish efficient choices.

It is a framework, not strict math. Courts use it to guide reasonableness decisions with real-world sense.

Barge owner/charter (no bargee), Carroll Towing (mooring changes), and the United States (cargo owner).
Reviewed by The Law Easy
Category: Tort Law Maritime/Harbor
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