A taxi travelling from Chennai to Bengaluru covers first half of the total distance with a speed of 40 m/s and the second half with a speed of 60 m/s. Find the average speed of the car.22 m/s24 m/s48 m/s50 m/s

To find the average speed of the car, we can use the formula:

Average Speed = Total Distance / Total Time

First, let's find the total distance. Since the taxi is traveling from Chennai to Bengaluru, we can assume the total distance is the sum of the distances covered in the first half and the second half.

Let's denote the total distance as D. Since the taxi covers the first half of the distance with a speed of 40 m/s, the time taken to cover the first half can be calculated using the formula:

Time = Distance / Speed

Let's denote the distance covered in the first half as D/2. Therefore, the time taken to cover the first half is (D/2) / 40.

Similarly, the time taken to cover the second half can be calculated using the formula:

Time = Distance / Speed

Let's denote the distance covered in the second half as D/2. Therefore, the time taken to cover the second half is (D/2) / 60.

Now, let's calculate the total time taken to cover the entire distance:

Total Time = (D/2) / 40 + (D/2) / 60

To find the average speed, we need to divide the total distance by the total time:

Average Speed = D / [(D/2) / 40 + (D/2) / 60]

Simplifying the equation, we get:

Average Speed = 2 * (40 * 60) / (40 + 60)

Calculating the value, we find:

Average Speed = 48 m/s

Therefore, the average speed of the car is 48 m/s.