A car drove from one city to another at a speed of 60 km / h, and 0.5 hours after that, a bus drove out of another city towards

A car drove from one city to another at a speed of 60 km / h, and 0.5 hours after that, a bus drove out of another city towards him at a speed of 40 km / h. How many hours did the car drive before meeting the bus, if the distance between cities is 230 km?

Find the distance traveled by a car to the bus exit
1) 60 * 0.5 = 30 km a passenger car passed before the bus left.
Find the distance between the car and the bus at the time of the bus departure
2) 230-30 = 200km-distance at the time of departure of the bus
Let’s calculate the speed of convergence between a car and a bus
3) 60 + 40 = 100 km / h-approach speed
And now we will find the time after which they met after leaving the bus
4) 200/100 = 2h
But the car left half an hour earlier, so
5) 2 + 0.5 = 2.5 hours a passenger car was driving before meeting the bus
Answer: 2.5 hours