Question

2.1.3 A person travels from Port Elizabeth to Bloemfontein via another city, City Y and uses two different taxis. The total cost for this one-way trip is R955. Calculate the cost from Port Elizabeth to City Y and hence identify City Y.

Ask by Tucker Huang. in South Africa
Feb 19,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Cannot determine the cost from Port Elizabeth to City Y or identify City Y with the given information.

Solution

To solve this problem, we need to break it down step by step. 1. **Extract Known Conditions:** - The total cost for the trip from Port Elizabeth to Bloemfontein via City Y is R955. - The trip involves two different taxis. 2. **Assumptions:** - Let's denote the cost from Port Elizabeth to City Y as \( x \). - Let's denote the cost from City Y to Bloemfontein as \( y \). 3. **Set Up the Equation:** - According to the information given, we can set up the equation: \[ x + y = 955 \] 4. **Identify City Y:** - To identify City Y, we need additional information about the costs of the trips or the distance between the cities. However, since this information is not provided, we can only express the relationship between \( x \) and \( y \). 5. **Conclusion:** - Without additional data regarding the cost of the trip from City Y to Bloemfontein or any specific costs associated with the taxis, we cannot determine the exact values of \( x \) and \( y \) or identify City Y. If you have any specific costs or additional information about the trip, please provide that so we can proceed with the calculations.

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Mind Expander

To calculate the cost from Port Elizabeth to City Y, you can assume that the total amount of R955 is divided into two parts: the fare from Port Elizabeth to City Y and the fare from City Y to Bloemfontein. Suppose the fare from Port Elizabeth to City Y is R500 and from City Y to Bloemfontein is R455. This means City Y could potentially be a city like Colesberg, which often is a stopping point for travelers between Port Elizabeth and Bloemfontein. If you want to avoid common mistakes, ensure you double-check your fares and their routes, as taxi fares can vary significantly based on time, demand, and whether they're shared or private. Also, remember to take note of any additional costs, such as toll fees or waiting times, that might not be included in the initial fare estimates!

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