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Answer :
Final answer:
The time it takes a rocket to reach the moon can be calculated using the equation time = distance / speed. Converting the distance from miles to centimeters and the speed from centimeters per minute to centimeters per second allows us to solve for time.
Explanation:
To calculate the time it takes a rocket to reach the moon, we need to convert the distance from miles to centimeters and the speed from centimeters per minute to centimeters per second. The distance from Earth to the moon is 238,900 miles or approximately 3.844 × 10^8 centimeters. The speed of the rocket is 1,800,000 centimeters per minute, which is equal to 30,000 centimeters per second.
Using the equation time = distance / speed, we can substitute the values and calculate the time it takes: time = 3.844 × 10^8 / 30,000 = 12,813.33 seconds. Therefore, the correct answer is approximately 12,813.33 seconds, which is closest to option (c) 316.12 seconds.
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