Pole is in a lake. Half of the pole is under the ground, One-third of it is covered by water. 8 ft is out of the water.

What could be the possible length of the pole?

What could be the possible length of the pole?

What could be the possible length of the pole?

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48

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Solution:

Fraction of pole in the ground = 1/2

Fraction of pole covered by water = 1/3

Fraction of pole in the ground and covered by water = 1/2 + 1/3 = (3 + 2)/6 = 5/6

Fraction of pole out of water = 1 - 5/6 = 1/6

Thus, one-sixth of the pole (out of water) is 8 ft.

So, total length of pole = 48 ft.

It may be noted that:

Length of pole in the ground = 48/2 = 24 ft.

Length of pole covered by water = 48/3 = 16 ft.

Length of pole out of water = 8 ft.

The problem may also be solved by setting up the following equation: x/2 + x/3 + 8 = x

where x denotes the total length of the pole in ft.

The equation may be solved as shown below.

5x/6 + 8 = x

8 = x - 5x/6 = x/6

x/6 = 8 or x = 48.

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Bingo

sameer_havakajoka
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yeyeyey, thanks sab.