So when I was working:
I would have taken leave for the scan.
Walk in blood tests for me at 7:30 before school/work.
DH would walk the dog before work. I did the evening walk.
School lunches are free for youngest/included in school fees for eldest/supplied by school for middle (disabled - special school).
School work is done in the evenings. Youngest might read while I was doing breakfast, or practice times tables in the car or something.
I was a teacher so spent all day listening to kids read.
Deep cleaning/sorting books - weekend and holiday jobs.
Insurance claim - after school job or holiday job if it's a rediculous only open between 11-11:15 type place.
Washing - before/after work (delay timer is amazing!)
Homemade pizzas - prep the dough the night before to give it time to rise. Roll it, make sauce and toppings just before we're ready to eat.
DH would do school pick up. Clubs shared between us. Supervise homework while cooking.
Id also... Work between 8-6, DH 7-3, care for disabled DD, pop round to elderly parents several times a week, sort all the disability admin, work evenings and weekends in front of the TV, and God knows what else.
No. I don't get your point at all.
And that's nothing special, that's a pretty standard working parent routine. It's just life!