angie and payton jog of opposite each other and angie can jog 4.5 mile faster than payton. after 1.5 hours they are 17 miles apart. how much can each person jog

you are wrong thank you for nothing.

I am sorry sir I am mistaken, I have read the 17 as 18. Have a blessed day. ',:)

literally thanks for nothing

To find out how much each person can jog, we need to determine their individual jogging speeds.

Let's assume Payton's jogging speed is x miles per hour. Since Angie jogs 4.5 miles faster than Payton, Angie's jogging speed would be (x + 4.5) miles per hour.

We know that Angie and Payton jogged for 1.5 hours, so we can use the formula Distance = Speed × Time to calculate the distances they jogged.

For Payton:
Distance Payton jogged = Payton's speed × Time = x miles per hour × 1.5 hours = 1.5x miles

For Angie:
Distance Angie jogged = Angie's speed × Time = (x + 4.5) miles per hour × 1.5 hours = 1.5(x + 4.5) miles

Given that they are 17 miles apart after 1.5 hours, we can set up the equation:

Distance Payton jogged + Distance Angie jogged = 17 miles

1.5x + 1.5(x + 4.5) = 17

Simplifying the equation:

1.5x + 1.5x + 6.75 = 17

3x + 6.75 = 17

3x = 17 - 6.75

3x = 10.25

Dividing both sides by 3, we find:

x = 10.25 / 3

x ≈ 3.42

So, Payton's jogging speed is approximately 3.42 miles per hour.

Now we can calculate the distances they jogged:

Distance Payton jogged = 1.5x = 1.5 * 3.42 ≈ 5.13 miles

Distance Angie jogged = 1.5(x + 4.5) = 1.5(3.42 + 4.5) ≈ 12.93 miles

Therefore, Payton can jog approximately 5.13 miles, and Angie can jog approximately 12.93 miles.

Recall that distance is equal to rate (or speed) mutiplied by time:

d = v*t

Let r = speed of Payton
Let r + 4.5 = speed of Angie
If they are jogging opposite to each other, then the distance between them is equal to the sum of their rates multiplied by the time:
d = r*t + (r+4.5)*t
Substituting,
17 = r(1.5) + (r+4.5)(1.5)
17 = 1.5r + 1.5r + 6.75
17 - 6.75 = 3r
10.25 = 3r
r = 3.42 mi/hr (Payton's)
r+4.5 = 7.92 mi/hr (Angie's)

Hope this helps~ :3