Question

# In the 1908 Olympic Games, the Olympic marathon was lengthened from 40 kilometers to approximately 42 kilometers. Of the following, which is closest to the increase in the distance of the Olympic marathon, in miles? (1 mile is approximately 1.6 kilometers.)

- 1.00
- 1.25
- 1.50
- 1.75

## The correct answer is: 1.25

### It is given that , In 1908, the marathon was lengthened to 42 kilometers from 40 kilometers.

i.e. 42 – 40 = 2 kilometers

Since 1 mile is approximately 1.6 kilometers,

1 mile = 1.6 km

Let x be the miles equal to 2 km

x = 2 km

the increase of 2 kilometers can be converted to miles by multiplying as

2 kilometers ×( 1 mile / 1.6 kilometers) = x miles

Therefore, x = 1.25 miles

Note:- Choices A, C, and D are incorrect and may result from errors made when applying the conversion rate or other computational errors.

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Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.

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**Note:**

Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.