A police car is asked to overtake a red sedan that is 1.6 km ahead of it on the freeway. The red sedan is traveling at 80 km/hr and the police car travels at 100 km/hr. When will the police car overtake the sedan?
To determine when the police car will overtake the sedan, we need to consider the relative speeds of the two vehicles and the distance between them.
Given:
- Speed of the red sedan = 80 km/hr
- Speed of the police car = 100 km/hr
- Distance between the police car and the red sedan = 1.6 km
To overtake the sedan, the police car needs to cover the distance of 1.6 km while closing the speed difference between them.
First, let's find the relative speed between the police car and the red sedan:
Relative speed = Speed of the police car - Speed of the red sedan
Relative speed = 100 km/hr - 80 km/hr
Relative speed = 20 km/hr
Now we can calculate the time it takes for the police car to overtake the sedan:
Time = Distance / Relative speed
Time = 1.6 km / 20 km/hr
Time = 0.08 hours
Since time is usually measured in minutes or seconds, let's convert it into minutes:
0.08 hours * 60 minutes/hour = 4.8 minutes
Therefore, the police car will overtake the red sedan in approximately 4.8 minutes.
whats the answer
wait its 1.6/20? that .08 I think
the police car is moving 20 km/hr faster, and must make up 1.6km. That will take
1.6km / 20km/hr = 1.6/20 hr
No idea when that will be...