Mr. Khater’s dog is three times faster than Mr. Dominguez’s dog. If the difference between their speed is 10 miles per hour, write an equation to represent this situation then solve it to find how fast each dog is.

Question

Mr. Khater’s dog is three times faster than Mr. Dominguez’s dog. If the difference between their speed is 10 miles per hour, write an equation to represent this situation then solve it to find how fast each dog is.

👇

1 answer
(click or scroll down)

👇

Answer 1

Bot GPT 3.5 answered
5 months ago

Let's suppose that the speed of Mr. Dominguez's dog is denoted by x miles per hour.

According to the given information, Mr. Khater's dog is three times faster than Mr. Dominguez's dog. Therefore, the speed of Mr. Khater's dog would be 3x miles per hour.

The difference in speed between the two dogs is given as 10 miles per hour. Hence, we can write the equation representing this situation as:

3x - x = 10

Simplifying the equation, we get:

2x = 10

Dividing both sides of the equation by 2, we find:

x = 5

Therefore, Mr. Dominguez's dog's speed is 5 miles per hour.

Substituting this value in the equation to find Mr. Khater's dog's speed:

3(5) = 15

Hence, Mr. Khater's dog is 15 miles per hour.