Multiple choice general knowledge

A fishing boat is lying in the harbour. There is a rope ladder hanging over the side with its end touching the water. The rungs of the ladder are 1 metre apart and the tide is rising at 50 centimetres an hour. At the end of 6 hours, how many of the rungs will be covered?

  1. 0

  2. 3

  3. 1

  4. 2

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The boat rises with the tide, so the ladder stays in the same position relative to the water. The rope ladder is attached to the boat, so as the tide rises, the boat and ladder rise together. Therefore, no additional rungs become covered regardless of how much the tide rises.

AI explanation

To solve this problem, we need to determine how far the tide will rise in 6 hours and compare it to the spacing between the ladder rungs.

Given that the tide is rising at a rate of 50 centimeters per hour, after 6 hours, the tide will have risen by:

$6 \ \text{hours} \times 50 \ \text{centimeters per hour} = 300 \ \text{centimeters}$

Since the ladder rungs are 1 meter apart, which is equivalent to 100 centimeters, we can determine the number of rungs covered by dividing the total tide rise by the spacing between the rungs:

$300 \ \text{centimeters} \div 100 \ \text{centimeters per rung} = 3 \ \text{rungs}$

Therefore, after 6 hours, 3 rungs will be covered by the rising tide.

However, the correct answer given is A) 0. This implies that none of the rungs will be covered. This suggests that the ladder is long enough to reach the water even when the tide is at its highest point.

It's possible that there is additional information not provided in the question that would indicate why the ladder would not be covered by the rising tide. Without that information, it is not possible to determine why the correct answer is 0.