A skier is hauled up a short, straight slope at a constant speed by a rope. The rope tension is $100\,\text{N}$, and the skier experiences a combined frictional and air resistance force of $20\,\text{N}$. The slope has a length of $10\,\text{m}$, and the skier gains $1.5\,\text{m}$ in vertical height. Calculate the work done by the rope as it pulls the skier up the slope.
- A$120\,\text{J}$
- B$150\,\text{J}$
- C$1000\,\text{J}$
- D$1200\,\text{J}$