Question

There is a pole in a lake. half of the pole is embedded in the mud at the bottom of the pond, another one third is covered by water, and 9 feet is out of the water. what is the total length of the pole?​

Answer 1

Since we have given that

Let the total length of the pole be 'x'.

Half of the pole is embedded in the mud at the bottom of the pond =

$\frac{x}{2}$

One third is covered by water =

$\frac{x}{3}$

Length of pole is out of the water = 7 feet

So, our required equation will be

$\frac{x}{2} + \frac{x}{3} + 7 = x \\ \\ \frac{2x +3x }{6} + 7 = x \\ \\ \frac{5x}{6} + 7 = x \\ \\ 7 = x - \frac{5x}{6} \\ \\ 7 = \frac{x}{6} \\ \\ \huge \bold{x = 42}$

Hence, the total length of the pole is 42 feet.