Let the speed of the bus be denoted by $x$ km/h. The speed of the car is 20 km/h more than the speed of the bus, so the speed of the car is $x + 20$ km/h.

Both vehicles are traveling towards each other, so the sum of the distances they each cover after 2 hours is equal to the total distance between points A and B, which is 240 km.

The distance traveled by the bus in 2 hours is:

$\text{Distance by bus} = 2 \times x \, \text{km}$

The distance traveled by the car in 2 hours is:

$\text{Distance by car} = 2 \times (x + 20) \, \text{km}$

Since the total distance is 240 km, we have the equation:

$2x + 2(x + 20) = 240$

Simplifying this:

$2x + 2x + 40 = 240$ $4x + 40 = 240$ $4x = 240 - 40$ $4x = 200$ $x = 50$

So, the speed of the bus is $50$ km/h.

Final Answer:

The speed of the bus is 50 km/h.

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Would you like a detailed explanation of the steps, or do you have other questions? Here are some related questions you could explore:

1. How do relative speeds work when two objects move towards each other?
2. What would happen if the bus and car had been traveling for 3 hours instead of 2 hours?
3. How can we calculate the time taken for two objects to meet when given their speeds and distances?
4. What if the bus was 30 km/h slower than the car instead of 20 km/h faster?
5. How do we solve problems involving motion in opposite directions with different speeds?

Tip: Always break down word problems into smaller steps: define variables, write equations based on given information, and solve systematically!