# I'm Gonna Troll You. !!

Algebra Level pending

Once a bet was carried out between a Goblin and a Troll that who is the fastest. They decided that one of them will climb up a hill and other down the hill. The Goblin showing some signs of wisdom chose to climb up.

Race started. The track was $$750$$meters. The goblin maintained a constant speed of $$2 m/s$$ with breaks of $$5$$ minutes after every $$100$$ meters. The Troll on the other hand maintained a speed of $$3 m/s$$ with breaks of $$5$$ minutes after every $$50$$ meters. He was regretting why he never did push ups,sit ups etc.(He probably was greatly lacking stamina).

When the race was finished they both met at a point. If Goblin's feet covered $$x$$ meters to reach that point what was the distance covered by Troll's feet ?

This is an entry in the Troll King Contest.

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