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.

How far, in metres, is it from my home to my school?

Answers

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 [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.

[tex]1200=\dfrac{60}{100}x[/tex]

[tex]1200=0.6x[/tex]

[tex]\dfrac{1200}{0.6}=x[/tex]

[tex]2000=x[/tex]

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

Answer 2

How far, in metres, is it from my home to my school is 2,000 metres.

First step is to formulate

1200/(1-2×20%)

Second step is to find how far in metres

Distance=1200/(1-0.4)

Distance=1200/0.6

Distance=2,000

Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.

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Answers

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