Round: 98

An Acara traveled from Meridell to Brightvale, 50 miles away, with his pet Pawkeet. When he arrived in Brightvale, he let the pawkeet fly free while he traveled back to Meridell, at a speed of 10 miles per hour. The pawkeet, who flies at 25 miles per hour, arrived at Meridell and promptly turned around until he got to the Acara. Once he got to the Acara, he turned around and returned to Meridell. He continued to fly back and forth between the Acara and Meridell until the Acara reached Meridell.

How many miles total did the Pawkeet travel on this trip?





Answer: 175 miles

This one is actually easier than it looks. The acara travels back to Meridell (50 miles away) at a rate of 10 miles per hour, so it takes 5 hours for that trip. The pawkeet is flying back and forth at 25 miles per hour that entire time! So the total distance the pawkeet flew during the acara's return trip was (5 hours) * (25 miles per hour) = 125 miles.

However, the pawkeet also travelled with the acara on the way to Brightvale, which is an additional 50 miles. So the total distance they travelled was 175 miles.





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