Answer:
a) 6am Tuesday
Step-by-step explanation:
We can find the time and day one-quarter of a week after midday on Sunday by this way:
First, we find the total hours for one-quarter of a week:
[tex]\displaystyle\frac{1}{4} \times1\ week[/tex]
[tex]\displaystyle=\frac{1}{4} \times7\ days[/tex]
[tex]\displaystyle=\frac{1}{4} \times 7\times24\ hours[/tex]
[tex]=42\ hours[/tex]
[tex]=(24+18)\ hours[/tex]
[tex]=1\ day\ 18\ hours[/tex]
If we use the 24-hour system, midday on Sunday will be Sunday 12:00. One-quarter of a week after Sunday 12:00:
Sunday 12:00 + 1 day + 18 hours
= (Sunday + 1 day) (12:00 + 18 hours)
= Monday 30:00
= Monday (06:00 + 24:00)
= (Monday + 1 day) 06:00
= Tuesday 06:00
= 6am Tuesday