Question

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

Answer 1

Answer::

`(1)/(x)+(1)/(2x)=(1)/(3)`

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:

`(1)/(x)+(1)/(2x)=(1)/(3)`