ANSWER :
7 : 35 am
EXPLANATION :
Let's sum up the total time John needs for his plan.
It takes 5 hours to drive to Newcastle, 10 mins to fill up fuel and 45 mins for his breakfast.
The total time will be:
[tex]5\text{hrs}+10\text{mins}+45\text{mins}=\text{ 5 hrs and 55 mins}[/tex]So subtracting this total time to 1:30 pm,
Let's substract first the 5 hours,
[tex]1\colon30\text{ less 5 hours is 8 : 30 am}[/tex]Then subtract 30 mins of the 55 mins
[tex]8\colon30\text{ less 30 mins is 8 : 00 am}[/tex]Then the remaining 55 - 30 = 25 mins
Subtract 25 mins from 8 : 00 am
[tex]8\colon00\text{ less 25 mins is 7 : 35 am}[/tex]Therefore, John can leave home at 7 : 35 am