A northbound plane left Calgary at $$ 7: 00 \mathrm{PM} $$, flying at $$ 800 \mathrm{~km} / \mathrm{hr} $$. At the same time another plane left the same airport flying south at $$ 750 \mathrm{~km} / \mathrm{hr} $$. In how many hours will the two planes be 4650 kilometres apart?

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To determine how many hours it will take for the two planes to be 4650 kilometers apart, we can analyze their movements as follows:

1. **Directions and Speeds:**
   - **Northbound Plane:**
     - Speed = 800 km/h
   - **Southbound Plane:**
     - Speed = 750 km/h

2. **Relative Speed:**
   Since the planes are moving in opposite directions (north and south), their speeds add up when calculating the rate at which the distance between them increases.
   $$
   \text{Relative Speed} = 800 \, \text{km/h} + 750 \, \text{km/h} = 1550 \, \text{km/h}
   $$

3. **Time Calculation:**
   We need to find the time $$ t $$ it takes for the distance between them to reach 4650 kilometers.
   $$
   \text{Distance} = \text{Relative Speed} \times t
   $$
   $$
   4650 \, \text{km} = 1550 \, \text{km/h} \times t
   $$
   $$
   t = \frac{4650 \, \text{km}}{1550 \, \text{km/h}} = 3 \, \text{hours}
   $$

**Answer:**  
It will take 3 hours for the two planes to be 4650 kilometres apart.
It will take 3 hours for the two planes to be 4650 kilometers apart.

A northbound plane left Calgary at \( 7: 00 \mathrm{PM} \), flying at \( 800 \mathrm{~km} / \mathrm{hr} \). At the same time another plane left the same airport flying south at \( 750 \mathrm{~km} / \mathrm{hr} \). In how many hours will the two planes be 4650 kilometres apart?

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