Simplifying it a bit, battery efficiency drops as the discharge current rises, so the theory you show is wrong. If you get 60mins at 3.8A, then you'd probably get maybe 20-25m at 7.6A. However, battery capacities are usually given at something like the C10 rate, so the 3800mAh will likely be at 0.38A and you maight only get (say) 50mins (or less) at 3.8A.
You need to see the spec for the battery to get the correct figures, or Google up a generic NiMH spec which should be close enough.