To determine the time it will take for the two cars to meet, you can use the concept of relative velocity. The relative velocity is the difference between the velocities of the two objects.
Let's convert the velocities of the cars from km/h to m/s for consistent units:
Car A's velocity (u₁) = 55 km/hr = (55 * 1000) m/3600 s ≈ 15.28 m/s (towards car B) Car B's velocity (u₂) = 45 km/hr = (45 * 1000) m/3600 s ≈ 12.50 m/s (towards car A)
Now, to find the relative velocity (v), we subtract the velocities of the two cars:
v = u₁ - u₂ = 15.28 m/s - 12.50 m/s ≈ 2.78 m/s
The relative velocity is positive because the cars are approaching each other.
To determine the time it will take for the two cars to meet, we can use the formula:
Time (t) = Distance (d) / Relative velocity (v)
Given that the initial distance between the cars is 150 m, we have:
t = d / v = 150 m / 2.78 m/s ≈ 53.96 s
Therefore, it will take approximately 53.96 seconds for the two cars to meet.