A woman pushes a trunk on a railway platform which has a rough surface. She applies a force of \(100\) N over a distance of \(10\) m. Thereafter, she gets progressively tired and her applied force reduces linearly with distance to \(50\) N. The total distance through which the trunk has been moved is \(20\) m. The plot of force applied by the woman and the frictional force, which is \(50\) N versus displacement is given below. Work done by the two forces over \(20\) m are:

1. \(1750\) J and \(-1000\) J
2. \(1750\) J and \(1000\) J
3. \(-1750\) J and \(1000\) J
4. \(-1750\) J and \(-1000\) J