Two cars, A and B are traveling at speeds 90km/h and 45km/h respectively. If A is behind B. Assuming they maintain the same speeds, how long will it take (in minutes) for A to overtake B?
To determine how long it will take for car A to overtake car B, we need to find the time it takes for the distance between them to decrease to zero.
Let's assume that car A overtakes car B after time t.
In t hours, the distance traveled by car A is given by 90t km.
In t hours, the distance traveled by car B is given by 45t km.
Since car A is behind car B, the initial distance between them is the initial position of car B minus the initial position of car A.
Given the same initial position, this initial distance is 0 km.
So, 45t - 90t = 0.
Simplifying the equation above, we get:
-45t = 0
t = 0
Therefore, it will take 0 hours for car A to overtake car B.
To convert this time to minutes, we multiply 0 hours by 60 minutes per hour.
So, it will take 0 minutes for car A to overtake car B.
To find out how long it will take for car A to overtake car B, we need to calculate the time it takes for car A to cover the distance between them.
First, we need to determine the relative speed of car A with respect to car B. Since A is traveling at 90 km/h and B is traveling at 45 km/h, the relative speed of A with respect to B is given by subtracting their speeds: 90 km/h - 45 km/h = 45 km/h.
The relative speed of A with respect to B indicates how much faster car A is moving compared to car B. So, for A to catch up to B, it needs to cover the initial distance between them, which is the length of car B.
Now let's calculate the time it takes for A to cover the distance between them. To do this, we divide the initial distance by the relative speed:
Time = Distance / Speed
Since we're given the speeds in kilometers per hour and want to find the time in minutes, we need to convert the units. There are 60 minutes in an hour, so we divide the speed by 60 to get the speed in km/minute:
Relative speed = 45 km/h / 60 = 0.75 km/min
Now, let's assume the length of car B is 1 kilometer. We divide the distance by the relative speed to calculate the time:
Time = 1 km / 0.75 km/min = 1.33 minutes
Therefore, it will take approximately 1.33 minutes for car A to overtake car B.
To find out how long it will take for car A to overtake car B, we need to calculate the time it takes for A to cover the distance that separates the two cars.
The relative speed between the two cars is the difference in their speeds, which is 90 km/h - 45 km/h = 45 km/h.
Since the distance is the same, the time it takes for A to overtake B can be calculated using the formula:
Time = Distance / Relative Speed
The distance between the two cars is not provided, so we cannot calculate the exact time.