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1952 AMC 12 Question 48

AMC12 · 1952 AMC 12

Question 48

Two cyclists, $k$ miles apart, and starting at the same time, would be together in $r$ hours if they traveled in the same direction, but would pass each other in $t$ hours if they traveled in opposite directions. The ratio of the speed of the faster cyclist to that of the slower is:
  1. $\dfrac{r+t}{r-t}$
  2. $\dfrac r{r-t}$
  3. $\dfrac{r+t}{r}$
  4. $\dfrac rt$
  5. $\dfrac{r+k}{t-k}$