Julia and Bianca both leave the college at the same time, but in opposite directions. If Bianca travels 9 mph faster than Julia and after 4 hours they are 140 miles apart, how fast is each traveling?

Let x = Julia's speed, then x+9 = Bianca's.

Time * Speed = Distance

4(x + x+9) = 140

Solve for x, then x+9.

To determine the speeds at which Julia and Bianca are traveling, we can set up a system of equations based on the given information.

Let's say that Julia's speed is represented by "x" mph and Bianca's speed is "x + 9" mph because Bianca travels 9 mph faster than Julia.

After 4 hours, Julia would have traveled a distance of 4x miles, and Bianca would have traveled a distance of 4(x + 9) miles. Since they are traveling in opposite directions, the total distance between them is the sum of their individual distances:

4x + 4(x + 9) = 140

Simplifying the equation:

4x + 4x + 36 = 140
8x + 36 = 140
8x = 140 - 36
8x = 104

Now, we can solve for x by dividing both sides of the equation by 8:

x = 104 / 8
x = 13

So, Julia is traveling at a speed of 13 mph.

To find Bianca's speed, we add 9 to Julia's speed:

Bianca's speed = 13 + 9
Bianca's speed = 22 mph

Therefore, Julia is traveling at a speed of 13 mph, and Bianca is traveling at a speed of 22 mph.