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

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

Answer 2

The dog catches the fox after 2 Minutes.

Explanation:

`Time=(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=(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=(x-60)/(720)`

Since the time taken to reach the point is equal,

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

Therefore: Time taken=
`t=(1500)/(750)=2 Minutes`

The dog catches the fox after 2 Minutes.