Track / Stage 4 / 166 of 340 #426 of 1964

Problem 426

AMC 12 late, AIME early

Algebra Difficulty 4.8 Multiple choice

A3 How tall is the pole if one third of the pole is in the ground, half is in the water, and above the water is 1.5 meters?

Pick one

Official solution

A3. If $x$ is the height of the entire pole, its half measures $\frac{x}{2}$ , and its third $\frac{x}{3}$ . From the equation $\frac{x}{3}+\frac{x}{2}+1.5 \text{ m}=x$ , we find that the height of the pole is $x=9 \text{ m}$ .

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.