Question

A cat is running away from a dog at a speed of 3m/s. originally, the distance between them was 48 meters. What should be the speed of the dog to catch with the cat in 1 minute?

Answer 1

`\boxed{3.8 \: m/s}`

Explanation

The first step is to set the speed and the distance equal to the unknown rate of the dog.

3 m/s + 48 m = x m/60s.

Then substitute 60s in for both rates to get distance.

180m + 48m = x m/60

228m = 60x m

÷60 ÷60

3.8m = x m/s.

x = 3.8m/s

Answer 2

`3.8\:\mathrm{m/s}`

Explanation:

Use the formula
`d=rt` (distance is equal to rate/speed multiplied by time) to solve this problem.

We know that one minute is equal to 60 seconds. Therefore, the distance travelled by the cat in 1 minute is equal to
`d=3\cdot 60=180\text{ meters}`.

To catch the cat, the dog needs to also cover an additional 48 meters, because the cat was initially 48 meters away from the dog and it ran away from the dog. Hence, the dog will need to cover
`180+48=228` meters in one minute.

Therefore, we have:

`228=60r,\\r=(228)/(60)=\boxed{3.8\:\mathrm{m/s}}`