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?

Yes, I know it is probably easy but I am lazy.

Answer 1

It takes 0.75 hour to paint one wall

Solution:

Given that, You paint 1/3 of a wall in 1/4 hour

To find: Time taken to paint one wall

From given,

$\frac{1}{3} \text{ of a wall } = \frac{1}{4} \text{ hour }$

Let "x" be the time taken to paint 1 wall

Then according to question,

$\frac{1}{3} \text{ wall } = \frac{1}{4} \text{ hour }\\\\1 \text{ wall } = x \text{ hour }$

This forms a proportion and we can solve the sum by cross multiplying

$\frac{1}{3} \times x = \frac{1}{4} \times 1\\\\x = \frac{1}{4} \times 3\\\\x = 0.75$

Thus it takes 0.75 hour to paint one wall