Question

two comets orbit the Sun. One comet travels 30,000 miles per hour and the other comet travels 28,500 miles per hour. What is the most efficient way to calculate the difference of the distances traveled by the comets for any given number of minutes? Justify your answer.

Answer 1

The difference of the distances traveled by the comets for any given number of minutes is 25t.

Since the first comet travels at a speed of 30,000 miles per hour, the distance it travels in t minutes is d = 30000 mph × 1 h/60 min × t = 500t miles.

Also, the second comet travels at a speed of 28,500 miles per hour, the distance it travels in t minutes is d' = 28,500 mph × 1 h/60 min × t = 475t miles.

So, the difference in the distances traveled by the comets D = d - d'

= 500t - 475t

= 25t

So, the difference of the distances traveled by the comets for any given number of minutes is 25t.

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