Question 184
A zerg player can produce one zergling every minute and a protoss player can produce one zealot every $2.1$ minutes. Both players begin building their respective units immediately from the beginning of the game. In a fight, a zergling army overpowers a zealot army if the ratio of zerglings to zealots is more than $3$. What is the total amount of time (in minutes) during the game such that at that time the zergling army would overpower the zealot army?