Marathon problem

Algebra Level 2

In a marathon with 2016 runners, the number of participants that arrived before John was a quarter of the number of participants that arrived after him. In which position did John arrive?

407 1007 405 1008 404

1 solution

Abner Andrade
Jun 21, 2016

A simple equation to solve this question can be written, based on the fact that if you add the number of runners that arrived before John (let's call it $x$ ), the number of runners that arrived after him ( $4x$ ) and the number $1$ (that is John), you must obtain the total number of runners, $2016$ :

$x + 4x + 1 = 2016$

$5x = 2015$

$x = 403$

So, if $403$ runners arrived before John, he must have arrived at position $404$ .

Marathon problem

1 solution

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