To find out how long it will take for the car to reach the truck, we first need to determine the relative speed between the two vehicles. The relative speed is the difference between their speeds.
In this case, the car is traveling at 90 km/h, while the truck is traveling at 75 km/h. Therefore, the relative speed between the car and the truck is:
Relative speed = Car's speed - Truck's speed
Relative speed = 90 km/h - 75 km/h
Relative speed = 15 km/h
Now that we know the relative speed, we can calculate the time it will take for the car to cover the 100 m distance between them.
To do this, we need to convert the relative speed from km/h to m/s, as the distance is given in meters.
1 km/h = (1/3.6) m/s (since 1 km = 1000 m and 1 hour = 3600 seconds)
Therefore, the relative speed is:
Relative speed = 15 km/h * (1/3.6) m/s
Relative speed = 4.17 m/s
Now, using the formula time = distance / speed, we can calculate the time it will take:
Time = Distance / Relative speed
Time = 100 m / 4.17 m/s
Time = 24 seconds (rounded to the nearest whole number)
So, it will take approximately 24 seconds for the car to reach the truck if they continue to travel at their respective speeds.