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Answer :
To find out when Cebo will arrive at the vaccination site, we need to break down his journey into two parts: walking to the taxi rank and taking a taxi to the vaccination site. Here's a step-by-step solution:
1. Walking to the Taxi Rank:
- Cebo walks at a speed of 1.5 meters per second to the taxi rank, which is 900 meters away.
- To find the time it takes to walk there, use the formula:
[tex]\[
\text{time} = \frac{\text{distance}}{\text{speed}}
\][/tex]
- Plugging in the values:
[tex]\[
\text{time} = \frac{900}{1.5} = 600 \text{ seconds}
\][/tex]
2. Taxi Ride to the Vaccination Site:
- The distance to the vaccination site is 10 kilometers, which is 10,000 meters.
- The taxi travels at a speed of [tex]\(40 \, \text{km/hour}\)[/tex], which can be converted to meters per second. Since [tex]\(1 \,\text{km} = 1000 \,\text{m}\)[/tex] and [tex]\(1 \,\text{hour} = 3600 \,\text{seconds}\)[/tex], the speed is:
[tex]\[
40 \, \text{km/hr} = \frac{40 \times 1000}{3600} \approx 11.11 \, \text{m/s}
\][/tex]
- Using the same time formula:
[tex]\[
\text{time} = \frac{10000}{11.11} \approx 900 \, \text{seconds}
\][/tex]
3. Total Travel Time:
- Total travel time from home to the vaccination site is the sum of the walking time and the taxi time:
[tex]\[
600 \, \text{seconds (walking)} + 900 \, \text{seconds (taxi)} = 1500 \, \text{seconds}
\][/tex]
4. Converting Travel Time to Hours, Minutes, and Seconds:
- Convert 1500 seconds to minutes and seconds:
[tex]\[
1500 \div 60 = 25 \, \text{minutes and} \, 0 \, \text{seconds}
\][/tex]
5. Arrival Time:
- Cebo leaves home at 12:30 PM. Adding 25 minutes to this:
- The time becomes 12:55 PM.
Therefore, Cebo will arrive at the vaccination site at approximately 12:55 PM.
1. Walking to the Taxi Rank:
- Cebo walks at a speed of 1.5 meters per second to the taxi rank, which is 900 meters away.
- To find the time it takes to walk there, use the formula:
[tex]\[
\text{time} = \frac{\text{distance}}{\text{speed}}
\][/tex]
- Plugging in the values:
[tex]\[
\text{time} = \frac{900}{1.5} = 600 \text{ seconds}
\][/tex]
2. Taxi Ride to the Vaccination Site:
- The distance to the vaccination site is 10 kilometers, which is 10,000 meters.
- The taxi travels at a speed of [tex]\(40 \, \text{km/hour}\)[/tex], which can be converted to meters per second. Since [tex]\(1 \,\text{km} = 1000 \,\text{m}\)[/tex] and [tex]\(1 \,\text{hour} = 3600 \,\text{seconds}\)[/tex], the speed is:
[tex]\[
40 \, \text{km/hr} = \frac{40 \times 1000}{3600} \approx 11.11 \, \text{m/s}
\][/tex]
- Using the same time formula:
[tex]\[
\text{time} = \frac{10000}{11.11} \approx 900 \, \text{seconds}
\][/tex]
3. Total Travel Time:
- Total travel time from home to the vaccination site is the sum of the walking time and the taxi time:
[tex]\[
600 \, \text{seconds (walking)} + 900 \, \text{seconds (taxi)} = 1500 \, \text{seconds}
\][/tex]
4. Converting Travel Time to Hours, Minutes, and Seconds:
- Convert 1500 seconds to minutes and seconds:
[tex]\[
1500 \div 60 = 25 \, \text{minutes and} \, 0 \, \text{seconds}
\][/tex]
5. Arrival Time:
- Cebo leaves home at 12:30 PM. Adding 25 minutes to this:
- The time becomes 12:55 PM.
Therefore, Cebo will arrive at the vaccination site at approximately 12:55 PM.
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