# Progress bars

**Algebra**Level pending

Suppose we want to run \( n \) identical programs on a computer. There are 2 progress bars showing the progress of the programs. One shows the progress of the current program and the other shows the total progress ( i.e. there are 6 60-step programs, one progress bar shows Program 1 step 30/60, the other shows 8.33 %). Find a formula for the number of times the first progress bar passes the second one during the entire process ( running all \( n \) programs )