The 50-60Mbps halving assumption for repeating speed is based on both router-repeater and repeater-client links having the same speed, i.e. 100-120Mbps.
Its based on what the repeater links at and then halves.
Makes more sense re-positioning the repeater - perhaps after wall 2 - where it links to the router at the same speed the client links to repeater. Assuming you can get "repeating" speed up to 40Mbps, then 8Mbps actual throughput should be easy.
No not after wall 2, repeater must be closer to the router than client for client to get the best speed. client may get a weaker signal but will be able to do more with it.
I think the bigger question is what is actual throughput efficiency vs link speeds?
I've seen a simple Linksys USB G stick connected to a WL520GU router about 20 feet away through 1 wall easily max out an 8Mbps internet connection, so its surprising that an n router would struggle for throughput efficiency. Even bottle says his 450Mbps link delivers about 160Mbps actual throughput, so even 1/3rd of 40Mbps should be nearly double your 6Mbps estimate.
Yes, I get similar through two walls at 20 feet. link speed of 65Mbs, throughput of 15-20Mbs. The client indicates 3/4-4/4 bars strength even at that distance and is a N150.
It would seem that taking 80-90% off the link speed for throughput is excessive, 2/3 is closer.
So once again....
3 walls at 40 feet
router (1)|.............. (repeater)(2)|................. (3) | client
1 wall between router-repeater, 2 walls between repeater-client
Lets say N300 client @ 20Mhz
Router puts out 150Mbs, Repeater links at 120-150Mbs, repeats @ 60-75Mbs, client is expected to link at ~45-60Mbs, giving a throughput at the destination of 12-20Mbs
key poiint here is it assumes the client is a N300, if its not then the starting speed will not be 150 Mbs but 65-72Mbs and the destination will receive 6-10Mbs.
So we need to confirm whether the dell is a N150 or N300.
http://www.makeuseof.com/tag/how-to-find-unknown-device-drivers-by-their-vendor-device-id/
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toxicdrift
What is vendor id & device instance id of the wifi card in the dell ?