Underwater 4189

The water pillar is partly embedded in the ground, partly underwater, and protrudes 55 cm above the water. The length of the part above the water to the length of the part in the water is in the ratio of 1:2. The length of the part above the water to the length of the part embedded in the ground is in the ratio of 5:7. Determine the length of the pillar.

Correct answer:

x =  242 cm

Step-by-step explanation:

$$\begin{gathered} a=55 \\ a:b=1:2 \\ b=2\cdot a=2\cdot 55=110 \\ a:c=5:7 \\ c=7\cdot a/5=7\cdot 55/5=77 \\ x=a+b+c=55+110+77=242\text{cm} \end{gathered}$$

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