Olympus mju tough 6020 very slow
So I've been using my Olympus tough 6020 now for a month and it makes ok pictures and good videos but it's super slow.
I use the older 1030 waterproof and it starts and writes fast. The first thing I'd check is the power of your batteries! Recently in Mexico it was taking a tiny new Canon about 5 seconds to write a 3mp photo to the card. We'd never even seen the red light flashing before it was usually so fast. Turns out we were re-charging on the villages very weak electrical system. It was enough to run the camera, but just barely! Since then I've had the same problem with purchased batteries.
You can buy high power re-chargables specifically for hungry electronics.