To find the speed of the bus, we can start by calculating the time it takes for the car and the bus to meet.
From 13:12 to 16:12, there are 3 hours.
During this time, the car travels at a speed of 80 km/h, so it covers a distance of 80 km/h × 3 hours = 240 km.
Since the car and the bus are initially 610 km apart, and they meet after the car has traveled 240 km, the remaining distance between them is 610 km - 240 km = 370 km.
Since the car and the bus are traveling towards each other, the combined distance they cover is equal to the sum of their individual distances traveled.
Let's assume the speed of the bus is represented by v km/h.
So, the distance covered by the bus in 3 hours is v km/h × 3 hours = 3v km.
Since the remaining distance between the car and the bus is 370 km, we have the equation:
240 km + 3v km = 370 km.
Simplifying the equation, we get:
3v km = 370 km - 240 km = 130 km.
Dividing both sides of the equation by 3, we find:
v km/h = 130 km / 3 ≈ 43.33 km/h.
Therefore, the speed of the bus is approximately 43.33 km/h.
