how long does it take an car travailing in the left lane of a highway at 60km/h to overtake another car in the right lane traveling at 40km/hr when the cars start 100meters apart
d1 = d2 + 100m.
60t = 40t + 100
60t-40t = 100
20t = 100
t = 5 Hours.
To calculate the time it takes for the car in the left lane to overtake the car in the right lane, we can use the formula: time = distance / speed.
First, let's determine the relative speed between the two cars:
Relative speed = Speed of car in the left lane - Speed of car in the right lane
Relative speed = 60 km/h - 40 km/h = 20 km/h
Now, let's convert the speeds to meters per second (m/s) for consistent units:
Speed of car in the left lane = 60 km/h = (60 * 1000) / (60 * 60) m/s ≈ 16.67 m/s
Speed of car in the right lane = 40 km/h = (40 * 1000) / (60 * 60) m/s ≈ 11.11 m/s
Since the cars start 100 meters apart, the distance to be covered by the car in the left lane to overtake the car in the right lane is:
Distance = 100 meters
Now, we can use the formula to find the time:
Time = Distance / Relative speed
Time = 100 meters / 20 m/s
Time = 5 seconds
Therefore, it will take the car in the left lane approximately 5 seconds to overtake the car in the right lane when traveling at 60 km/h, starting 100 meters apart.