Drop Down list boxes are perfectly happy in a Repeating Table.
You can put summary field in the table footer or outside of table altogether.
Add a function to text box.
Insert Function = 'Sum' and then select the column you want totaled.
You will need to do your time calculations in script. The built in functions
don't handle times and dates very well.

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> I'm new to Infopath and need to know if the following is possible and
> some guidence on how to do it.....
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> to group then summarise the time.
> Also, can you have a dropdown selection within a repeating table?