Question

When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.

Answer 1

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is $100\%-20\%-20\%=60\%$ of the total distance from home to school.

$1200=\dfrac{60}{100}x$

$1200=0.6x$

$\dfrac{1200}{0.6}=x$

$2000=x$

Therefore, the distance from home to school is 2000  metres.