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The Boat Beyond the Bridge (illustration)
FILE No.18Unsolved

The Boat Beyond the Bridge

Difficulty ★★★about 6 minTheft CasesReversing an assumptionComparing the waterline
An empty boat could not pass under a low bridge, yet the boat loaded with a stolen statue did. What changed?

Case Record

A heavy bronze statue was stolen from a harbor warehouse.

The next morning a small boat that had been tied at the warehouse landing was found in an inlet downstream. The stolen statue was loaded on it.

The only way from the landing to the inlet is under a low stone bridge.

Kishi, the boat’s owner, told the police: "Last night I tried to set out in the empty boat, but its roof was going to catch on the bridge, so I turned back. How did it get through with a statue loaded?"

The tide was the same when Kishi turned back and when the boat passed under the bridge. There was no sign that the bridge or the boat’s roof had been altered.

Your question

What made it possible to pass under the bridge the empty boat could not?

Case Files

Evidence

The wharf and the boat when found

The wharf and the boat when found

Timeline

  1. The empty boat is photographed.
  2. Kishi turns back before the bridge.
  3. The boat passes under the bridge at the same tide level as when Kishi turned back.
  4. The theft is discovered; the boat with the statue is found in the inlet.

Hints

If you get stuck, open the hints one at a time, in order.

Open hint 1

Neither the tide nor the shape of the bridge or roof changed.

Open hint 2

Compare the white part of the hull and the waterline in the photos.

Open hint 3

The empty boat and the boat when found carry different things. How does that weight affect the boat?

Solve It

Your question

What made it possible to pass under the bridge the empty boat could not?

Choose the answer closest to the truth.

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The Truth

The statue

The answer is “the statue.”

Loading the heavy statue made the hull sink deeper into the water. The roof lowered with the hull, so the boat could pass under the bridge it could not pass empty. Comparing the photos, the white part of the hull is hidden below the waterline in the boat loaded with the statue. Even with the same tide, the position of the water relative to the hull changed. People tend to think "if it can’t pass empty, it surely can’t pass loaded," but the added weight opened a gap under the bridge. The roof was not removed, and no one waited for the tide to go out.

Why it fitSame tide, same bridge, same roofThe statue’s weight sinks the hull deeperThe roof sinks with itAnswer: the statue
Diagram of the solution

Key Points

  • Observe the hull’s position against the water
  • Think how a heavy load changes how a boat floats
  • The same boat can have a different roof height depending on load

Why people get fooled

You assume that if an empty boat cannot pass, a loaded one certainly cannot. You overlook that added weight lowers the whole boat.

Similar tricks

  • A reversal where the cargo removes the obstacle
  • Comparing positions against the same waterline

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