Malcolm is trying to find the fastest walk to school and is currently comparing two routes. In the first route, he walks for 6 minutes uphill, walks for twice this amount of time along a path, then finishes the journey in a third of the time it took to walk the first two stages. In the second route, he walks along a flat path for 14 minutes, then finishes the walk in twice this amount of time. In minutes, how much longer was the second route compared with the first?
In the first route, Malcolm spends 6 minutes * 2 = <<6*2=12>>12 minutes walking along the path.
So in total, the first two stages of this route take him 6 + 12 = <<6+12=18>>18 minutes.
This means the final part of the journey took him 18 / 3 = <<18/3=6>>6 minutes.
Therefore, the total time it takes to walk the first route is 18 + 6 = <<18+6=24>>24 minutes.
In the second route, the second stage takes him 14 * 2 = <<14*2=28>>28 minutes.
So the second route takes a total of 28 + 14 = <<28+14=42>>42 minutes to walk.
The second route therefore takes an extra 42 minutes for the second route – 24 minutes for the first route = <<42-24=18>>18 minutes.
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