Answer:
They started shopping for cloths at 11:45 AM
Explanation:
First of all we have to calculate the whole time that they spent in the mall starting from shopping.
They spent 1 hour on shopping, 1 hour and 30 minutes at food court and 30 minutes in video arcade which makes:
![1 + 1.5+ 0.5 = 3\ hours](https://img.qammunity.org/2021/formulas/mathematics/high-school/vqioqjf2pddf83bdqplf1c8y2l1np58bug.png)
as 30 minutes is equal to half hour so we used 0.5 in place of it.
Now we know that they left at 02:45 PM. We have to see what time it was 3 hours ago.
![02:45\ PM - 03:00 = 11:45\ AM](https://img.qammunity.org/2021/formulas/mathematics/high-school/i4lkelur45f43o6convcm5fxseu3h9bn4e.png)
Hence,
They started shopping for cloths at 11:45 AM