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]
