High School

A meteor falls 12,000 feet in 24 seconds. It takes a total of 3 minutes and 15 seconds for the meteor to hit the earth. How many feet did the meteor fall?

A. 12,000
B. 36,000
C. 75,200
D. 97,500

Answer :

Final answer:

The meteor falls at a rate of 500 feet per second. When multiplied by the total time it took for the meteor to hit earth (195 seconds), we find that the meteor fell 97,500 feet.

Explanation:

In order to solve this problem, let’s first convert the total time for the meteor to hit the ground from minutes to seconds. 3 minutes is equal to 180 seconds and adding the extra 15 seconds brings us to a total of 195 seconds. If the meteor falls 12,000 feet in 24 seconds, we can find out how many feet it falls in 1 second by dividing 12,000 by 24. That gives us 500 feet per second.

Now, we just have to multiply this rate of fall by the total time it took for the meteor to hit the ground i.e. 195 seconds.

So, 500 feet/second multiplied by 195 seconds equals 97,500 feet. Hence, the correct answer is d. 97,500.

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