Problem of the Day #106

POTD March 24, 2024

An extremely inefficient battery has a power life of 2 hours. Every time the charge is used up, the power life decreases by 3 minutes when it is used up (it does not decrease while being used). The battery starts at full capacity. Alice uses the battery until it is empty, and then recharges it, waits 5 minutes, and then uses it up again. As soon as the battery life reaches 0 minutes, she stops. After how many minutes will Alice stop?