College

Cebo wants to get vaccinated at Waterloo Clinic. He walks at a speed of 1.5 meters per second to a nearby taxi rank that is 900 meters away. The vaccination site is 10 km away, and the taxi travels at a speed of [tex]40 \text{ km/hr}[/tex]. Calculate the approximate arrival time (in hours, minutes, and seconds) for Cebo at the vaccination site if he leaves home at 12:30, assuming there are no interruptions or delays along the way.

You may use the formula:
[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]

Answer :

Let's go through the steps to find the approximate arrival time for Cebo at the vaccination site.

1. Calculate the Time to Walk to the Taxi Rank:
- Cebo's walking speed is 1.5 meters per second.
- Distance to the taxi rank is 900 meters.
- Time taken to walk = Distance / Speed = 900 meters / 1.5 meters per second = 600 seconds.

2. Convert Walking Time to Minutes and Seconds:
- 600 seconds is equal to 600 / 60 = 10 minutes and 0 seconds.

3. Calculate the Time to Travel by Taxi to the Vaccination Site:
- Taxi speed is 40 kilometers per hour.
- Distance to the vaccination site is 10 kilometers.
- Time taken by taxi = Distance / Speed = 10 km / 40 km/hr = 0.25 hours.

4. Convert Taxi Time to Minutes and Seconds:
- 0.25 hours is equal to 0.25 * 60 = 15 minutes and 0 seconds.

5. Find Total Time Taken:
- Total walking time is 10 minutes and 0 seconds.
- Total taxi travel time is 15 minutes and 0 seconds.

6. Calculate Approximate Arrival Time:
- Cebo leaves home at 12:30 PM.
- Add the walking time: 12:30 PM + 10 minutes = 12:40 PM.
- Add the taxi time: 12:40 PM + 15 minutes = 12:55 PM.

Cebo will approximately arrive at the vaccination site at 12:55 PM.