Question

Half of a bamboo pole is buried in mud, one sixth of it is in water and the part above water is greater than or equal to 1 metre. find the length of the shortest pole.​

Answer 1

Solution-

Let the length of the bamboo pole be x metres.

∴ the length of the pole in mud= x/2 metres

the length of the pole buried in water= x/6 metres.

∴ the length of the pole above water=$\sf{x-\dfrac{x}{2}-\dfrac{x}{6}≥1.}$metres.

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From the equation, $\sf{x-\dfrac{x}{2}-\dfrac{x}{6}≥1.}$ This is a linear inequation.

∴ $\sf{\dfrac{6x-3x-x}{6}≥1}$

$\sf\implies{\dfrac{2x}{6}≥1}$

$\sf\implies{x≥3.}$

∴ the smallest value of $\sf{x = 3.}$

∴ the length of the shortest bamboo pole is 3 metres.

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Answer 2

sorry I didn't know