A dog and a cat start running from the same corner around the rectangular garden. Dog runs west and the cat runs north. Cat's speed is 1 meter per second faster than the dog's speed. After 2 seconds the distance between them is 10 meters. Find their speed in meters per second.
Will mark brainliest!

Change of position of an object in any direction at a defined rate, the rate of such change is termed as speed. Speed can be measured as the ratio of distance covered to time taken to cover that distance. The formula for speed is:

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Calculations:

Given:

Speed of cat is [tex]\rm 1\:meter/s[/tex] faster than dog's speed.

Let the speed of dog in meter/s be [tex]\rm x\\[/tex]

The speed of cat is [tex]\rm x + 1[/tex]

Distance covered in total is 10 inches.

Time taken is 2 seconds.

The total speed of cat and dog will be:

[tex]\rm x + x +1 = 2x + 1[/tex]

We know that:

[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]

Therefore,

[tex]\begin{aligned} \rm 2x + 1 &= \dfrac{10}{2}\\\\2x + 1 &= 5\\\\2x &= 5 - 1\\\\2x &= 4\\\\x &= \dfrac{4}{2}\\\\x &= 2\end[/tex]

Hence the speed of dog is [tex]\rm 2 \:meter/s[/tex] and the speed of cat is [tex](2+1)\rm meter/s[/tex] i.e. [tex]\rm 3\:meter/s[/tex].

Learn more about speed here:

https://brainly.com/question/7359669

A dog and a cat start running from the same corner around the rectangular garden. Dog runs west and the cat runs north. Cat's speed is 1 meter per second faster than the dog's speed. After 2 seconds the distance between them is 10 meters. Find their speed in meters per second. Will mark brainliest!

Respuesta :

Calculations:

Otras preguntas

A dog and a cat start running from the same corner around the rectangular garden. Dog runs west and the cat runs north. Cat's speed is 1 meter per second faster than the dog's speed. After 2 seconds the distance between them is 10 meters. Find their speed in meters per second.
Will mark brainliest!