Two cats start from opposite ends of an 8 mile road, driving towards eachother. One car is driving at a rate of 4mph and the other is driving at a rate of 6 mph. After how long will the cars meet

Answer:The cars will meet each other after 0.8 hour [48 minutes]Step-by-step explanation:* Lets explain how to solve the problem- The two cars start from opposite ends of a 8 mile rode# The distance between them is 8 miles- The two cars driving towards each other# the time for both same- One car is driving at a rate of 4 mph# The rate of the car is 4 miles per hour- Other car is driving at a rate of 6 mph# The rate of the car is 6 miles per hour- We need to know they will meet each other after what time- They move towards each other and meet each other after t hour  and the total distance d is the sum of the two car's distances  [tex]d_{1}[/tex] and [tex]d_{2}[/tex] ,this total distance is 8 miles∴ d = [tex]d_{1}[/tex] + [tex]d_{2}[/tex]∵ d = 8∴ [tex]d_{1}[/tex] + [tex]d_{2}[/tex]- Distance = rate × time∵ The rate of one care is 4 mph∵ The rate of the other car is 6 mph∵ The time for both cars is t∴ [tex]d_{1}=4t[/tex] and [tex]d_{2}=6t[/tex]- Substitute these values in the equation above∴ 4t + 6t = 8∴ 10t = 8- Divide both sides by 8∴ t = 0.8∴ The cars will meet each other after 0.8 hour [48 minutes]