Here is a link to a review of the Fujifilm F20.

You will find the performance information on that page.

Regarding flash:

When you use the flash, it takes a period of time for the flash capacitor to recharge.
The closer you are to the subject, the faster the flash capacitor will recharge.
When you are close to the subject, the flash does not need to be as bright and does not completely deplete the flash capacitor, so it can recharge quicker.

Very much light pouring water out of a pitcher.
If you only pour out half of the water, it takes less time to refill it.

You can usually count on a delay of at least two seconds just for the flash capacitor to recharge.

Some cameras are much slower than two seconds.