Answer:
The dog catches the fox after 2 Minutes.
Step-by-step explanation:
[tex]Time=\frac{Distance}{Average\:Speed}[/tex]
Let the dog distance to the point where he catches the fox=x
The Dog's Speed=750 meters per minute.
Therefore: the dog's time, [tex]Time=\frac{x}{750}[/tex]
Since, they were 60 meters apart initially, the fox distance to the same point =x-60
The fox's Speed=720 meters per minute.
Therefore: the dog's time to reach that point, [tex]Time=\frac{x-60}{720}[/tex]
Since the time taken to reach the point is equal,
[tex]\frac{x-60}{720}=\frac{x}{750}\\\text{Cross Multiply}\\720x=750(x-60)\\720x=750x-45000\\720x-750x=-45000\\-30x=-45000\\x=1500[/tex]
Therefore: Time taken=[tex]t=\frac{1500}{750}=2 Minutes[/tex]
The dog catches the fox after 2 Minutes.
