Answer :
Given :
Rochelle is competing in a marathon.
She knows that once she runs 14.7 km she will have completed 35% of the marathon.
To Find :
Total length of the marathon.
Solution :
Let, total distance of the marathon is x km.
So, 35% of x is 14.7 .
In mathematics :
[tex]14.7 = x\times \dfrac{35}{100}\\\\x = \dfrac{14.7\times 100}{35}\\\\x = 42\ km[/tex]
Therefore, total length of the marathon is 42 km.