We know that the time that Anna spends traveling is 20 minutes less than Jenny's travel time: a = j - 20
We also know that the distance both people travel is equal, so their speeds times their travel times must be equal: 15j = 45a
Substituting the first equation into the second equation, we get 15j = 45(j - 20)
Multiplying through the parentheses we get 15 j = 45j - 900
Subtracting 45 j from both sides, we get -30j = -900
Dividing both sides by -30, we get j = 30
Since Anna travels 20 minutes less than Jenny, she traveled 30 minutes - 20 minutes = <<20-10=10>>10 minutes
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