The concept required to solve this problem is related to heat conductivity as a function of time.
Mathematically in a stable state the heat flux is constant and its rate of change as a function of time can be described under the function
[tex]\frac{Q}{t} = \frac{kA\Delta T}{d}[/tex]
Where
k= Coefficient of thermal conductivity
A = Area of the object
[tex]\Delta T[/tex] =Temperature difference across object
d= thickness of object
According to the values given we have then,
[tex]k_{wool} = 0.04W/mK[/tex]
[tex]\Delta T = 35.4-13.9[/tex]
[tex]d = 1.87*10^{-3}m[/tex]
[tex]A = 1.69m^2[/tex]
Replacing we have,
[tex]\frac{Q}{t} = \frac{(0.04)(1.69)(35.4-13.9)}{1.87*10^{-3}}[/tex]
[tex]\frac{Q}{t} = 777.21J/s[/tex]
Therefore the quantity of heat per second does the person lose due to conduction is 777.21J/s
