What is Work out?
Work out is (verb) 1. to calculate I’m trying to work out if we’ve sold more this year than last. The waiter couldn’t work out the total bill. to work out at to amount to an amount The total works out at £10.50 per person. 2. to succeed Everything worked out quite well in the end. to work something out to find a successful way of solving a problem 3. to do exercises He works out every morning in the gym. 4. (of a mine) to exhaust a seam of coal etc., and not be able to continue working there The gold seam was worked out some years ago.
source: Easier English, Student Dictionary Upper Intermediate Level