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An ant is moving at a pace of 6.47 inches every 3 seconds. Provided that this ant is able to maintain this same pace, how many centimeters will this ant move in 1.66 minutes?

A. 195.6 cm
B. 327 cm
C. 98.5 cm
D. 394 cm

Answer :

Final answer:

To find how many centimeters the ant will move in 1.66 minutes at a pace of 6.47 inches every 3 seconds, convert the pace to centimeters, calculate the total seconds in 1.66 minutes, and multiply the pace by the quotient of total seconds divided by interval of seconds per pace.

Explanation:

To find how many centimeters the ant will move in 1.66 minutes, we first need to convert 6.47 inches to centimeters. There are 2.54 centimeters in an inch, so the ant's pace is 6.47 * 2.54 = 16.4418 centimeters every 3 seconds.



Next, we need to calculate how many times 3 seconds go into 1.66 minutes. There are 60 seconds in a minute, so 1.66 minutes is equal to 1.66 * 60 = 99.6 seconds.



Finally, we can find how many centimeters the ant will move in 1.66 minutes by dividing the total seconds (99.6) by the interval of seconds per pace (3 seconds) and multiplying it by the pace (16.4418 centimeters). Therefore, the ant will move 99.6 / 3 * 16.4418 = 548.6584 centimeters in 1.66 minutes.

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