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1972 AMC 12 Question 24

AMC12 · 1972 AMC 12

Question 24

A man walked a certain distance at a constant rate. If he had gone $\frac12$ mile per hour faster, he would have walked the distance in four-fifths of the time; if he had gone $\frac12$ mile per hour slower, he would have been $2\frac12$ hours longer on the road. The distance in miles he walked was:
  1. $13\frac12$
  2. $15$
  3. $17\frac12$
  4. $20$
  5. $25$