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1954 AMC 12 Question 48

AMC12 · 1954 AMC 12

Question 48

A train, an hour after starting, meets with an accident which detains it a half hour, after which it proceeds at $\dfrac34$ of its former rate and arrives $3\dfrac12$ hours late. Had the accident happened $90$ miles farther along the line, it would have arrived only $3$ hours late. The length of the trip in miles was:
  1. $400$
  2. $465$
  3. $600$
  4. $640$
  5. $550$