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Jeff can weed the garden twice as fast as his sister Julia. Together they can weed the garden in 3 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem? O °( ² ) + ( )= 3 2x °()-3+()-3=1 2x O ( ¹ ) · 6 + ( ¹ ) · 3 = 1 2x ° ( ) + ( )= 1 21

Respuesta :

Answer::

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

Explanation:

Let the time it takes Julia = 2x hours

Since Jeff can weed the garden twice as fast as his sister Julia:

• The time it takes Jeff = x hours

Thus:

• The rate at which Julia works = 1/2x

,

• The rate at which Jeff works = 1/x

Together they can weed the garden in 3 hours.

• The rate when working together = 1/3.

Therefore, an equation that can be used to find how long it would take each of them working alone will be:

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

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