You could calculate the sum in a subquery:
select Category
, Time
, Qty
, (
select sum(Qty)
from YourTable t2
where t1.Category = t2.Category
and t1.Time >= t2.Time
) as CatTotal
from YourTable t1
Trading readability for speed, you can use a MySQL variable to hold the running sum:
select Category
, Time
, Qty
, @sum := if(@cat = Category,@sum,0) + Qty as CatTotal
, @cat := Category
from YourTable
cross join
(select @cat := '', @sum := 0) as InitVarsAlias
order by
Category
, Time
The ordering is required for this construct to work; if you need a different order, wrap the query in a subquery:
select Category
, Time
, Qty
, CatTotal
from (
select Category
, Time
, Qty
, @sum := if(@cat = Category,@sum,0) + Qty as CatTotal
, @cat := Category
from YourTable
cross join
(select @cat := '', @sum := 0) as InitVarsAlias
order by
Category
, Time
) as SubQueryAlias
order by
Time
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