Multiple choice

Statement 1: A car travels a distance of 60 km at a constant speed of 40 km/h. It then travels another 60 km at a constant speed of 60 km/h. The average speed of the car for the entire journey is 48 km/h. Statement 2: A ball is thrown from the top of a building and reaches a maximum height of 20 metres. The time taken by the ball to reach the maximum height is half the time taken to reach the ground. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both statement 1 and statement 2 are correct.

  2. Both statement 1 and statement 2 are incorrect.

  3. Statement 1 is correct, but statement 2 is incorrect.

  4. Statement 1 is incorrect, but statement 2 is correct.
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A Correct answer
AI explanation

For statement one, the average speed for equal distances traveled at different speeds is two times 40 times 60 divided by their sum of 100, which equals 48 km/h. For statement two, if a ball is thrown and reaches a maximum height of 20 meters, the time taken to reach the maximum height is the square root of 40 divided by 9.8, while the time to fall 20 meters from rest is the same, making the total time twice the upward time. Therefore, both statements present correct information.

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