Sequence and Series - Problems involving inequalities

Each day a runner trains for a \(10\) km race. On the first day she runs \(100\) m, and then increases the distance by \(250\) m on each subsequent day.[4]

1. On which day does she run a distance of \(10\) km in training?
2. What is the total distance she will have run in training by the end of that day? Give your answer exactly.