1. **State the problem:** Convert and calculate various time-related quantities.
2. **Find the number in 4 1/2 hours:**
- Convert mixed number to improper fraction: $4 \frac{1}{2} = 4 + \frac{1}{2} = \frac{8}{2} + \frac{1}{2} = \frac{9}{2}$ hours.
- Convert hours to minutes using formula: $\text{minutes} = \text{hours} \times 60$.
- Calculate: $\frac{9}{2} \times 60 = 9 \times 30 = 270$ minutes.
3. **Change 2:15 hours into minutes:**
- 2 hours = $2 \times 60 = 120$ minutes.
- 15 minutes = 15 minutes.
- Total minutes = $120 + 15 = 135$ minutes.
4. **Find the number of hours in 3 days:**
- 1 day = 24 hours.
- 3 days = $3 \times 24 = 72$ hours.
5. **Bilal's drive from London to Cambridge:**
- Departure time: 0.745 hours.
- Arrival time: 10.17 hours.
- Time taken = $10.17 - 0.745 = 9.425$ hours.
- Convert decimal hours to hours and minutes:
- Hours = 9 hours.
- Minutes = $0.425 \times 60 = 25.5 \approx 26$ minutes.
- Total time = 9 hours 26 minutes.
6. **Train journey to Mumbai:**
- Departure time: 11:53 (1153 hrs).
- Journey time: 2 hours 30 minutes.
- Arrival time = Departure + Journey time = 11:53 + 2:30 = 14:23 (2:23 PM).
7. **Calculate average speed of train:**
- Distance = 235 km.
- Time = 2.5 hours.
- Average speed = $\frac{\text{distance}}{\text{time}} = \frac{235}{2.5} = 94$ km/h.
8. **Ziven's bus journey time:**
- Departure: 12:38 (1238 hrs).
- Arrival: 13:24 (1324 hrs).
- Time difference = 13:24 - 12:38 = 46 minutes.
**Final answers:**
1) 270 minutes.
2) 135 minutes.
3) 72 hours.
4) 9 hours 26 minutes.
5a) 14:23 hours.
5b) 94 km/h.
6) 46 minutes.
Time Conversions 432232
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