Una persona hace un trabajo en 6 horas, una segunda hace el trabajo en 8 horas y una tercera hace el trabajo en 10 horas. Si las tres personas trabajan al mismo tiempo ¿Cuánto tiempo durarán haciendo el trabajo?

a) 1 16/47 horas.

b) 2 26/47 horas.

c) 3 1/47 horas.

d) 4 36/47 horas.

Answers

Answer 1

Answer:

b) [tex]2\dfrac{26}{47}\ \text{horas}[/tex]

Step-by-step explanation:

Tiempo necesario para completar el trabajo en primera persona = 6 horas

Trabajo hecho en 1 hora = [tex]\dfrac{1}{6}[/tex]

Tiempo necesario para completar el trabajo por segunda persona = 8 horas

Trabajo hecho en 1 hora = [tex]\dfrac{1}{8}[/tex]

Tiempo necesario para completar el trabajo por tercera persona = 10 horas

Trabajo hecho en 1 hora = [tex]\dfrac{1}{10}[/tex]

El tiempo necesario para completar el trabajo juntos viene dado por

[tex]\dfrac{1}{\dfrac{1}{6}+\dfrac{1}{8}+\dfrac{1}{10}}=\dfrac{1}{\dfrac{47}{120}}\\ =\dfrac{120}{47}=2\dfrac{26}{47}\ \text{horas}[/tex]

El tiempo necesario para completar el trabajo juntos es [tex]2\dfrac{26}{47}\ \text{horas}[/tex].


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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