SOLUTION: In his search for the fountain, Ponce ambled for 1 year at a leisurely pace and then tripled his pace for the next 10 years. If the total journey was 3100 miles, how far did he am

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Question 66985This question is from textbook Advanced mathematics
: In his search for the fountain, Ponce ambled for 1 year at a leisurely pace and then tripled his pace for the next 10 years. If the total journey was 3100 miles, how far did he amble? This question is from textbook Advanced mathematics

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Say that he ambled at a rate = r in miles/year
Then he tripled his pace to rate = 3r
(rate for 1st year * 1 year) + (rate for next 10 years * 10 years) = 3100
r*1 + 3r*10 = 3100
r(1 + 30) = 3100
r = 100 miles/year
so, he ambled 100 miles the 1st year