After it snows, it takes Maria and her little sister Anita 1/2 of an hour to shovel the snow off of the sidewalks on their street. This is 2/3 of the time it takes Maria to do the same job by herself. How long does it take Maria do this job by herself?

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Define Time Variables: Let's denote the time it takes Maria to shovel the snow by herself as x hours. According to the problem, Maria and her sister together take 1/2 hour to complete the task, and this time is 2/3 of the time Maria takes by herself. So, we can write the equation: 1/2 = 2/3 * x.Set Up Equation: To find x, we need to solve for x in the equation 1/2 = 2/3 * x. To do this, we can divide both sides of the equation by 2/3 to isolate x. x = (1/2) / (2/3).Solve for x: When dividing fractions, we multiply by the reciprocal of the divisor. The reciprocal of 2/3 is 3/2. So, x = (1/2) * (3/2).Divide Fractions: Now, we multiply the numerators and the denominators separately. x = (1 * 3) / (2 * 2).Calculate Final Time: This simplifies to: x = 3/4. So, it takes Maria 3/4 of an hour to shovel the snow off of the sidewalks on her street by herself.

After it snows, it takes Maria and her little sister Anita $\frac{1}{2}$ of an hour to shovel the snow off of the sidewalks on their street. This is $\frac{2}{3}$ of the time it takes Maria to do the same job by herself. How long does it take Maria do this job by herself?

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After it snows, it takes Maria and her little sister Anita $\frac{1}{2}$ of an hour to shovel the snow off of the sidewalks on their street. This is $\frac{2}{3}$ of the time it takes Maria to do the same job by herself. How long does it take Maria do this job by herself?