The energy content of dietary fat is $39 \mathrm{~kJ} / \mathrm{g}$, and for protein and carbohydrate it is 17 and $16 \mathrm{~kJ} / \mathrm{g}$, respectively. A $70.0-\mathrm{kg}(155-\mathrm{lb})$ person utilizes $335 \mathrm{~kJ} / \mathrm{h}$ while resting and $1250 . \mathrm{kJ} / \mathrm{h}$ while walking $6 \mathrm{~km} / \mathrm{h}$. How many hours would the person need to walk per day instead of resting if he or she consumed $100 . \mathrm{g}$ (about $\frac{1}{4} \mathrm{lb}$ ) of fat instead of $100 \cdot \mathrm{g}$ of protein in order to not gain weight?