Janhavi started from her home at her usual speed. After covering T km, she encountered a traffic jam, reducing her speed by 80%. She reached her office with the reduced speed, arriving (t + 8) hours late.

The next day, she left her house and encountered a traffic jam after covering (T + 40) km, reducing her speed to 20% of her usual speed. She then resumed her usual speed and reached her office, arriving (t + 32) hours late.

Given that her usual speed on both days is the same and the distance between her house and office is 40 km, find the time it would take for her to travel (16T - 200) km at half of her usual speed.