To determine the time it will take for the two cars to meet, we need to find the relative velocity between them.
Car A is moving towards Car B at a speed of 55 km/hr, which is equivalent to 55,000 meters per hour (since 1 km = 1000 m). Similarly, Car B is moving towards Car A at a speed of 45 km/hr, which is equivalent to 45,000 meters per hour.
To find the relative velocity, we subtract the speed of Car B from the speed of Car A:
Relative velocity = Speed of Car A - Speed of Car B = 55,000 m/hr - 45,000 m/hr = 10,000 m/hr
Now that we have the relative velocity, we can calculate the time it takes for the two cars to meet by dividing the initial distance (150 m) by the relative velocity:
Time = Distance / Relative velocity = 150 m / 10,000 m/hr
To ensure consistent units, we convert the result to hours:
Time = (150 m / 10,000 m/hr) * (1 hr / 3600 s) * (1 km / 1000 m) = 0.0041667 hr
Converting this to minutes by multiplying by 60:
Time = 0.0041667 hr * 60 min/hr = 0.25 min
Therefore, it will take approximately 0.25 minutes (or 15 seconds) for the two cars to meet.