Question

One-third of a bamboo pole is buried in mud, one-sixth of in water and the part above the water is greater than or equal to 3 meters. Find the length of the shortest pole.

Answer 1

Let length of the bamboo pole be ' y ' meter.

• Part buried in mud = y/3 m

• Part in water = y/6 m

Total part buried in mud and water :

= y/3 + y/6

= 3y/6

= y/2  m

According to the question,

y/2 + 3 = y

→ y/2 = 3

∴ y = 6 m

The length of the shortest pole is 6 m.

$\rule{200}2$

Answer 2

$\huge \mathfrak \red{answer : }$

Let length of the bamboo pole be ' y ' meter.

Part buried in mud = y/3 m

Part in water = y/6 m

Total part buried in mud and water :

= y/3 + y/6

= 3y/6

= y/2 m

According to the question,

y/2 + 3 = y

→ y/2 = 3

∴ y = 6 m

The length of the shortest pole is 6 m.