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On a 1 mile track, Runner A has made 6 laps in the time it took runner B to make 2 laps. If Runner A is running 8 mph faster than Runner B, how fast is each of them running?

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sqdancefan

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Answer:

  • A: 12 mph
  • B: 4 mph

Step-by-step explanation:

The ratio of speeds is ...

  A speed : B speed = 6 : 2

The difference is 6-2 = 4 ratio units, which corresponds to a difference of 8 mph. Then each ratio unit stands for 8/4 = 2 mph.

The ratio of speeds is then ...

  A speed : B speed = 6 : 2 = 12 mph : 4 mph

Runner A is running 12 mph; runner B is running 4 mph.