Question

When a dog noticed a fox, they were 60 meters apart. The dog immediately started to chase the fox at a speed of 750 meters per minute. The fox started to run away at a speed of 720 meters per minute. How soon will the dog catch the fox?

Answer 1

Answer:

The dog catches the fox after 2 Minutes.

Step-by-step explanation:

$Time=\frac{Distance}{Average\:Speed}$

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, $Time=\frac{x}{750}$

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, $Time=\frac{x-60}{720}$

Since the time taken to reach the point is equal,

$\frac{x-60}{720}=\frac{x}{750}\\\text{Cross Multiply}\\720x=750(x-60)\\720x=750x-45000\\720x-750x=-45000\\-30x=-45000\\x=1500$

Therefore: Time taken=$t=\frac{1500}{750}=2 Minutes$

The dog catches the fox after 2 Minutes.

Answer 2

2 minutes.............