Answer:
4 minutes
Step-by-step explanation:
Given that:
Person 1's speed = 4 meters per minute
Anthony's speed = 4.5 meters per minute
To find:
In how many minutes, Anthony will be 2 meters ahead ?
Solution:
Let the time taken = [tex]t[/tex] minutes
Distance covered by 1st person = D meters
Distance covered by Anthony = (D + 2) meters
Formula:
Distance = Speed [tex]\times[/tex] Time
For 1st person:
[tex]D = 4 \times t[/tex] ....... (1)
For Anthony:
[tex]D+2 = 4.5 \times t[/tex]
Using first equation:
[tex]4t + 2 = 4.5t\\\Rightarrow 0.5t = 2\\\Rightarrow \bold{t = 4\ minutes}[/tex]
So, in 4 minutes, Anthony will be 2 meters ahead of the first person.
