Two cars leave from a town at the same time traveling in opposite directions. one travels 5 mph faster than the other. in 3 hours, they are 267 miles apart. find how fast each is traveling?

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Therefore, the speed of Car A is 47 mph and the speed of Car B is 42 mph.

Let us give the names of two cars

Car A who is faster than Car B by 5 mph.

Now, let us assumed the speed of Car B be x mph.

Thus, the speed of Car A will be (x+5).

The formula for finding the distance of any body is given as:

According to the question,

In 3 hours, they are 267 miles apart.

Thus,

The distance traveled by car A in three hours will be.

The distance traveled by car B in three hours will be.

Therefore, the addition of both the distance will be equated to 267 miles because both the cars a traveled in opposite direction.

Thus,

Therefore, the speed of Car A is 47 mph and the speed of Car B is 42 mph.

To know more about relative speed, please refer to the link:

link

Let the slower cars speed equal X.

The faster cars speed would be X+5 ( 5 mph faster).

They traveled for 3 hours

Multiply the time of travel by speed to equal the number of miles traveled.

So you have:

3X + 3(X+5) = 267 miles

Simplify the left side:

3X + 3X+15 = 267

Combine like terms:

6x + 15 = 267

Subtract 15 from each side"

6x = 252

Divide each side by 6:

x = 252 / 6

X = 42

The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4