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Hops and ping times

I was just wondering about this situation..

Say you were on broadband, and you were joining a Counterstrike game about 6 hops away, and averaged about 50ms each hop, while someone else was on dial up, and was 2 hops away, and averaged 120 ms each hop.

Who would have the smoother connection? Is it just a matter of multiplying the number of hops and the time for each?
 
number of router hops has little to nothing to do with it. bandwidth and latency are what is important.

your latency (or time to traverse network) is 50 milliseconds. pretty good. 120 mils for the dialup guy and the fact that it is an analog connection means he's hurtin.
 
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