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Nah, more speed != more bandwidth. Not at all.
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Of course it does.

If you have a 56k modem you aren't going to get through as much bandwidth as a 10mbps line are you?

In a month with a 56k line you migh download 500MB worth of files - with a 10mbps line you could download that in a few minutes, so in a month you could download many GB, hence bandwidth usage is much higher.

Im talking about a situation in which you had unlimited bandwidth for both lines.