Time Conversion 7715B6
1. **Problem statement:**
(i) Convert 155 minutes into hours and minutes.
(ii) A film starts at 1445 (2:45 PM) and lasts 2 hours and 20 minutes. Find the finishing time.
2. **Formulas and rules:**
- To convert minutes to hours and minutes: divide total minutes by 60.
- To add time, add hours and minutes separately, adjusting minutes if they exceed 60.
3. **Step-by-step solution:**
**(i) Convert 155 minutes:**
- Divide 155 by 60: $$155 \div 60 = 2\text{ remainder }35$$
- So, 155 minutes = 2 hours and 35 minutes.
**(ii) Calculate finishing time:**
- Start time is 1445, which is 14:45 in 24-hour format.
- Add 2 hours and 20 minutes:
- Hours: $$14 + 2 = 16$$
- Minutes: $$45 + 20 = 65$$
- Since 65 minutes is more than 60, convert:
- $$65 - 60 = 5$$ minutes
- Add 1 hour to hours: $$16 + 1 = 17$$
- Finishing time is 17:05 or 1705.
4. **Final answers:**
(i) 2 hours 35 minutes
(ii) 1705 (5:05 PM)