Question

A painter paints a wall in x hours, so the fraction of the wall that she paints in 1 hour is _______.

Short answer

The fraction of the wall painter paints in 1 hour is$\frac{1}{x}$.

Step-by-step solution

Step 1. Concept used.

If H is the total time needed to complete a task, then$\frac{1}{H}$ of the task was done per unit of time.

Step 2. Plug the values in the formula.

The given word problem requires finding the fraction of a job that has been done within the given time. To find the fraction, divide the number of hours of work by the total timex (in hours) needed to complete the entire task.

Here, work is done in 1 hour, but it takes x hours to complete the task.

Hence, only$\frac{1}{x}$ of the task was finished in 1 hour.