Final answer:
The two vehicles will meet after 1 hour and 40 minutes. They will meet 120 km from the starting point of the first vehicle, as one vehicle travels at 72 km/h and the other at 108 km/h.
Step-by-step explanation:
To solve the problem where two vehicles are approaching each other from cities 300 km apart, we use relative velocity concepts. One vehicle moves at 72 km/h and the other at 108 km/h. Their combined approach speed is the sum of their individual speeds since they are moving towards each other. a) Time it takes to meet: The combined speed = 72 km/h + 108 km/h = 180 km/h. Since time = distance/speed, we calculate time as follows: time = 300 km / 180 km/h = 5/3 hours, or 1 hour and 40 minutes. b) Position where they meet: The first vehicle travels for 1.67 hours at 72 km/h. The distance covered by the first vehicle = speed × time = 72 km/h × 1.67 hours = 120 km. Therefore, they meet 120 km from the starting point of the first vehicle.