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If it takes 4 workers ,4 hours to dig 4 wholes, how long would it take 2 workers to dig 6 holes?

Respuesta :

Answer:

2 workers will take 12 hours to dig six holes

Two workers take 12 hours to dig 6 holes.

What is unitary method?

The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.

Let t be the time taken by the two workers to dig a six hole.

According to the given question.

4 workers take 4 hours to dig 4 holes.

So, the number of hours taken by the one workers to dig a one hole is given by

Number of hour taken by a single worker to dig 1 hole = [tex]\frac{4 \times 4}{4}[/tex] = 4hours

Therefore,

The time taken by 2 workers to dig 6 holes is given by

[tex]\frac{4\times 4}{4} = \frac{2\times t }{6} \\\implies 4 \times 6 = 2\times t\\\implies 24= 2\times t\\\implies t = \frac{24}{2} \\\implies t = 12 hours[/tex]

Hence, two workers take 12 hours to dig 6 holes.

Find out more information about unitary method here:

https://brainly.com/question/22056199

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