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2012 AMC 10A Question 16

AMC10 · 2012 AMC 10A

Question 16

Three runners start running simultaneously from the same point on a $500$-meter circular track. They each run clockwise around the course maintaining constant speeds of $4.4,$ $4.8,$ and $5.0$ meters per second. The runners stop once they are all together again somewhere on the circular course. How many seconds do the runners run?
  1. $1{,}000$
  2. $1{,}250$
  3. $2{,}500$
  4. $5{,}000$
  5. $10{,}000$