Answer:
It will take 12.5 days for Alejandra to catch up with Javier and they both will have travelled 800m
Explanation:
Alejandra "catching up" implies that they will both have travelled the same distance
Therefore,
Let y represent the distance when Alejandra will catch up with Javier
Since both equations have the same y-value (distance):
24x+500 = 12x+650
24x - 12x = 650 - 500
12x = 150
x = 12.5
It will take 12.5 days for Alejandra to catch up with Javier
Next, put the amount of time into any of the 2 equations to find what the distance is:
24x + 500 = y
24 (12.5) + 500 = y
y = 800
800m is the distance travelled when Alejandra catches up with Javier