Answer:
For Ajay , [tex]y=200x+325[/tex]
For Tory, [tex]y=250x[/tex]
Step-by-step explanation:
Formula to find distance = rate × time
Rate of Ajay = 200
Rate of Tory = 250
In x minutes
Distance travelled by Ajay = 200 ×x = 200x
Distance travelled by Tory = 250 ×x = 250x
But Ajay was already ahead by 350 meters.
So for Ajay, the distance y traveled in x minutes
[tex]y=200x+375[/tex]
For Tory
[tex]y=250x[/tex]
Answer:
The rates are:
Ajay : 200
Tory : 250
I assume those are in meters per minute.
Now, we suppose that Ajay began the trail 325 meters ahead, so if we put the zero in Tory position, we got:
Ajay position = 325 meters + 200*x meters
Tory position = 250*x meters
Where x is the number of minutes after they started to bike.
From this, we can compare their positions, and see in which minute x Tory position and Ajay position are the same.
325 + 200x = 250x
325 = 250x - 200x = 50x
x = 325/50 = 6.5 minutes.
So before of x = 6.5 minutes, Ajay is ahead. After x =6,5 minutes, Tory is ahead.
