Answer:
We can write the position equation as:
P(t) = speed*time + initial position.
If we define Jabal home as the 0 of the position, then Jabal's initial position is 0m
And we know that his speed is 2.5 m/s, then his position equation is:
Pj(t) = (2.5 m/s)*t
We know that Michael speed is 6m/s, and we also know that his house is 15m further away from school than Jabal's one, then Michael's initial position is -15m
Michael's position equation is:
Pm(t) = (6m/s)*t -15 m
The boys will be walking together when they meet, and this will happen when their positions are the same, this means that:
Pj(t) = Pm(t)
That is the equation we need to solve for t.
(2.5 m/s)*t = (6m/s)*t -15 m
15m = (6m/s)*t - (2.5 m/s)*t = (3.5 m/s)*t
15m/(3.5 m/s) = t = 4.28 seconds.
The boys will walk together after 4.28 seconds.
