Question

You paint 1/3

of a wall in 1/4

hour. At that rate, how long will it take you to paint one wall?

Answer 1

To find out how long it will take to paint one wall, we can first determine the rate at which you paint.

You paint \(\frac{1}{3}\) of a wall in \(\frac{1}{4}\) hour. Therefore, to find the rate of painting one wall, we can first calculate how long it takes to paint the entire wall.

If you paint \(\frac{1}{3}\) of a wall in \(\frac{1}{4}\) hour, then painting one wall (which is 3 times more) will take:

\[
\text{Time to paint 1 wall} = \left(\frac{1}{4} \text{ hour}\right) \times 3 = \frac{3}{4} \text{ hour}
\]

So, it will take you \(\frac{3}{4}\) hour to paint one wall.

To convert \(\frac{3}{4}\) hour into minutes:

\[
\frac{3}{4} \text{ hour} = \frac{3}{4} \times 60 \text{ minutes} = 45 \text{ minutes}
\]

Therefore, it will take you 45 minutes to paint one wall.