# The Flight Of Smaug

**Algebra**Level 3

Gandalf is riding on Shadowfax away from The Lonely Mountain at 8 leagues per hour and his heading toward Dol Guldur. At the exact same time, Radagast is riding toward Gandalf from Dol Guldur on his Rhosgobel rabbits at a pace of 6 leagues per hour. The distance between The Lonely Mountain and Dol Guldur is 1890 leagues. Smaug also leaves The Lonely Mountain at the same time Gandalf does, and he flies toward Radagast. When he reaches Radagast, he suddenly turns around and flies back to the approaching Gandalf. Then, when he reaches Gandalf, he turns back and flies toward the nearing Radagast. He repeats this, at a speed of 17 leagues per hour, until Gandalf and Radagast finally meet. The number of leagues Smaug has flown is equal to X. What is X divided by 5?

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