If Lou runs 3 miles during his workout on a track that is 1/4 miles long, then he circles the track 3/(1/4)=12 times.

If Rosie runs twice as fast as Lou, then over the same time period, she runs 3*2=<<3*2=6>>6 miles.

If Rosie runs 6 miles on the 1/4 mile track, then she circles the track 6/(1/4)=<<6/(1/4)=24>>24 times.

# Answer

24
<|im_start|>system
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<|im_start|>user
Every day, Lou works out by running three miles on a circular track that is one-quarter of a mile long.  His wife, Rosie, also runs on the same track at the same time as her husband, but she runs at twice the speed of her husband.  During their workout, how many times does Rosie circle the track?
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user
24
Every day, Lou works out by running three miles on a circular track that is one-quarter of a mile long.  His wife, Rosie, also runs on the same track at the same time as her husband, but she runs at twice the speed of her husband.  During their workout, how many times does Rosie circle the track?
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