Wheel water depth

A pole is stuck in the water. 40 cm is in the ground, 2/3 of the length is in the water, and 1/5 of the length is above the water. How long is the pole, how many cm is in the water, and how much is above the water?

Final Answer:

x =  300 cm
a =  200 cm
b =  60 cm

Step-by-step explanation:

$$\begin{gathered} 40+2/3x+1/5x=x \\ 40+2/3\cdot x+1/5\cdot x=x \\ 2x=600 \\ x=\frac{600}{2}=300 \\ x=300=300\text{cm} \end{gathered}$$

$a=\frac{2}{3}\cdot x=\frac{2}{3}\cdot 300=\frac{2\cdot 300}{3}=\frac{600}{3}=200\text{cm}$

$b=\frac{1}{5}\cdot x=\frac{1}{5}\cdot 300=\frac{1\cdot 300}{5}=\frac{300}{5}=60\text{cm}$

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