The protests are likely to lead to heavy traffic congestion and disrupt business in the capital.
Videos and images obtained by Kenyans.co.ke showed hundreds of residents holding jerricans while rushing towards the scene.
The marathon will take place on Sunday, January 12.
This move by the Ministry comes amid focuses on the phase out of KCSE in the new CBC system.
The girl is among the candidates who sat for the recently released KCSE Exams.
Kiambu residents have been urged to take note of the fresh directives.
Education CS Ogamba revealed that the results of 2,389 candidates were still withheld over suspicions of exam malpractices.
The accident adds to the number of road carnages witnessed since the start of the year.
Exhibits obtained from the scene have been documented as suspects undergo processing ahead of their arraignment.
Temperatures in Nairobi, Kiambu, and Nyeri are forecast to hit a high of 28°C with lows of 08°C over the next five days.