Exactly
10.0.0.2 is almost certainly your router (or DSL Modem with built in ROUTER if that's what you have), while 67.41.38.202 is the next device/router that is visible to TCP/IP on the Qwest network that you connect to.
If you are connected:
[COMPUTER]<->[ROUTER]<--->[DSL MODEM] <--> [REST OF QWEST NETWORK]
then 67.41.38.202 would be the Ethernet hardware of the DSL modem, but chances are far better that you are connected:
[COMPUTER]<->[DSL MODEM with built-in ROUTER] <--> [REST OF QWEST NETWORK]
So that the 67.41.38.202 address represents the first router on the other side of your DSL modem.
The modem portion of the DSL modem (and the rest of the infrastructure up to the next router) is "invisible" as far as TCP/IP is concerned, so either the modem or the Qwest network (lines or hardware) to the first router is bad or overloaded.
Since you have no problem's pinging the 10.0.0.2 address, you've nearly eliminated the possibility of something inside your ethernet network - or in the software in your computer - interfering with your traffic.
But one of the best ways for the "rest of the infrastructure up to the next router" to be bad is to have things plugged in without the line filters in place where they should be or to have them filtering where they shouldn't be, so while it may be a Qwest problem, the first thing I'd do is double triple quadruple check that there's nothing else plugged into any phone jack anywhere else in the house, and then test.
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