Select the correct answer. Victor and Dennis are weeding a garden. If Victor worked alone, it would take him 30 minutes. Working together, they would finish in 12 minutes. When x represents the number of minutes it would take Dennis working alone, this situation is represented by this equation: Working alone, how long would it take Dennis to weed the garden? A. 15 minutes B. 18 minutes C. 20 minutes D. The rational equation has no valid solutions.

C. 20 minutes

Step-by-step explanation:

If Victor (V) worked alone, it would take him 30 minutes.

30 * V = 1

V = 1 / 30

When x represents the number of minutes it would take Dennis (D) working alone,

x * D = 1

D = 1 / x

Working together, they would finish in 12 minutes

12 (V + D) = 1

12( 1/30  + 1/x) =1

1/30 + 1/x = 1/12

Multiply all through by x

x/30 + 1 = x/12

x/30 - x/12 = - 1

( 2x - 5x ) / 60 = - 1

- 3x / 60 = - 1

- 3x = -60

x = -60 / -3 = 20 minutes

false

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step-by-step explanation: