Q: what was the Length of the Race?
Let L = the Length of the race
first, it is helpful to keep in mind that we have 2 instances of time given.
(1st)A will finish the Race.
A is 12 m. ahead of B when A finishes ---- (B has traveled a distance of: L - 12)
A is 18 m ahead of C when A finishes ------ (C has traveled a distance of: L - 18)
at this instant, B is ahead of C by 6 meters
(2nd)now B will finish the race - B had 12 meters more to run
B finishes the race 8 meters ahead of C
over the course of the 12 meters B ran -----------> B increased the lead over C by (8 - 6) = 2 meters
............................................................................................................................
*4when B runs entire L of track ------------------> B has an overall increased lead over C = 8 meters
thus, in order for B to put an overall Increased Lead over C = 8 meters
B must have run: (12)
*4 =
48 metersAnswer (B) 48