Answer:
160 meters
Step-by-step explanation:
Before I begin, note that distance = rate * time (or d = r * t)
To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)
So, let's set the time that Janiyah takes as x (in seconds). So, he covers
d = r * t, or 8x meters
Then, Connor's equation would be
d = r * t
d = 5x + 60 (because he got a 60 meter headstart)
Because d is the same in both equations, to solve for the amount of time they run:
8x = 5x + 60
Subtract 5x from both sides.
3x = 60
x = 20
Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x
8x = 8 * 20 = 160
So, Janiyah ran 160 meters.
Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so
5x + 60 = 160
5 * 20 + 60 = 160
100 + 60 = 160
160 = 160
True.
So, the answers are correct.
I hope this helps! Feel free to ask any questions!
