A 10-foot rope ladder hangs over the side of a boat with the bottom rung at the surface of the water. The rungs are one foot apart and the tide goes up at 6 inches per hour. How long until three rungs are under water?
Common Wrong Answers
“1 hour”
This answer assumes that the ladder will be submerged as the tide rises, but it does not account for the fact that the boat rises along with the tide, keeping the rungs above water.
“2 hours”
Similar to the first guess, this answer incorrectly assumes the ladder will be affected by the rising tide, while in reality, the boat's rise means the rungs remain above the water level.
“3 rungs will always be underwater”
This guess misunderstands the relationship between the boat and the tide; since the boat rises with the tide, the rungs will never be submerged, regardless of the tide's height.
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