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Una piscina tarda en llenarse 6 horas con un grifo y con otro grifo mayor tarda 4 horas.
¿Cuánto tiempo tardaría en llenarse la piscina con los dos grifos a la vez?

Sagot :

Usando la tasa conjunta, se encuentra que se tardaría 2.4 horas en llenarse la piscina con los dos grifos a la vez.

¿Cuál es la tasa conjunta?

La tasa conjunta es la suma de cada tasa por separado.

En este problemas, las tasas por separadas són dadas por 1/6 y 1/4. Por eso, la tasa conjunta es dada por:

[tex]\frac{1}{x} = \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{2 + 3}{12}[/tex]

[tex]\frac{1}{x} = \frac{5}{12}[/tex]

[tex]5x = 12[/tex]

[tex]x = 2.4[/tex]

Se tardaría 2.4 horas en llenarse la piscina con los dos grifos a la vez.

Puede-se aprender más a cerca de la tasa conjunta en https://brainly.com/question/25159431

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