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Answer :
Sure! Let's work through the problem step by step to find out when Cebo will arrive at the vaccination site.
1. Understanding Cebo's Journey:
- Cebo first walks to a nearby taxi rank, which is 900 meters away.
- He then takes a taxi to the vaccination site, which is 10 kilometers away.
2. Cebo's Walking Part:
- Walking speed: 1.5 meters per second.
- Distance to walk: 900 meters.
- To find the time taken to walk, use the formula:
[tex]\[\text{Time} = \frac{\text{Distance}}{\text{Speed}}\][/tex]
- Time taken for walking: [tex]\(\frac{900 \text{ meters}}{1.5 \text{ meters/second}} = 600 \text{ seconds}\)[/tex].
3. Cebo's Taxi Ride:
- Taxi speed: 40 kilometers per hour.
- Distance to travel: 10 kilometers.
- First, convert the taxi speed from km/h to m/s:
[tex]\[40 \text{ km/h} = 40 \times \frac{1000 \text{ meters}}{3600 \text{ seconds}} = \frac{40000}{3600} \approx 11.11 \text{ meters/second}\][/tex]
- Time taken for the taxi ride:
[tex]\(\frac{10 \times 1000 \text{ meters}}{11.11 \text{ meters/second}} \approx 900 \text{ seconds}\)[/tex].
4. Total Travel Time:
- Add the walking time and taxi time:
[tex]\(600 \text{ seconds} + 900 \text{ seconds} = 1500 \text{ seconds}\)[/tex].
5. Convert Total Time to Hours, Minutes, and Seconds:
- Total seconds: 1500
- Total minutes: [tex]\(1500 \div 60 = 25\)[/tex] minutes
- The travel time is 25 minutes, or 0 hours, 25 minutes, and 0 seconds.
6. Calculate Arrival Time:
- Cebo leaves at 12:30 PM.
- Add 25 minutes to the departure time:
- 12:30 PM + 25 minutes = 12:55 PM
So, Cebo will arrive at the vaccination site at approximately 12:55 PM.
1. Understanding Cebo's Journey:
- Cebo first walks to a nearby taxi rank, which is 900 meters away.
- He then takes a taxi to the vaccination site, which is 10 kilometers away.
2. Cebo's Walking Part:
- Walking speed: 1.5 meters per second.
- Distance to walk: 900 meters.
- To find the time taken to walk, use the formula:
[tex]\[\text{Time} = \frac{\text{Distance}}{\text{Speed}}\][/tex]
- Time taken for walking: [tex]\(\frac{900 \text{ meters}}{1.5 \text{ meters/second}} = 600 \text{ seconds}\)[/tex].
3. Cebo's Taxi Ride:
- Taxi speed: 40 kilometers per hour.
- Distance to travel: 10 kilometers.
- First, convert the taxi speed from km/h to m/s:
[tex]\[40 \text{ km/h} = 40 \times \frac{1000 \text{ meters}}{3600 \text{ seconds}} = \frac{40000}{3600} \approx 11.11 \text{ meters/second}\][/tex]
- Time taken for the taxi ride:
[tex]\(\frac{10 \times 1000 \text{ meters}}{11.11 \text{ meters/second}} \approx 900 \text{ seconds}\)[/tex].
4. Total Travel Time:
- Add the walking time and taxi time:
[tex]\(600 \text{ seconds} + 900 \text{ seconds} = 1500 \text{ seconds}\)[/tex].
5. Convert Total Time to Hours, Minutes, and Seconds:
- Total seconds: 1500
- Total minutes: [tex]\(1500 \div 60 = 25\)[/tex] minutes
- The travel time is 25 minutes, or 0 hours, 25 minutes, and 0 seconds.
6. Calculate Arrival Time:
- Cebo leaves at 12:30 PM.
- Add 25 minutes to the departure time:
- 12:30 PM + 25 minutes = 12:55 PM
So, Cebo will arrive at the vaccination site at approximately 12:55 PM.
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