1. **Problem statement:** (a) Find the time the journey ends if it starts at 09:15 and lasts 5 hours 54 minutes. (b) Calculate the distance travelled if the average speed is 80 km/h. 2. **Important note:** You do not need to convert time into decimals for part (a) because you can add hours and minutes separately. 3. **Step (a) - Find end time:** - Start time: 09:15 - Duration: 5 hours 54 minutes - Add hours: $09 + 5 = 14$ hours - Add minutes: $15 + 54 = 69$ minutes - Since 69 minutes is more than 60, convert: $69 - 60 = 9$ minutes and add 1 hour to hours - New time: $14 + 1 = 15$ hours and 9 minutes - So, the journey ends at **15:09**. 4. **Step (b) - Calculate distance:** - Average speed formula: $\text{distance} = \text{speed} \times \text{time}$ - Convert total time to hours in decimal for calculation: - $5$ hours $54$ minutes = $5 + \frac{54}{60} = 5.9$ hours - Speed = 80 km/h - Distance = $80 \times 5.9 = 472$ km **Final answers:** - (a) Journey ends at **15:09** - (b) Distance travelled is **472 km**