Question 815807
since we're only concerned with the relative distance between the two buses, we can simplify the problem to a single bus moving at the average relative speed of the two buses.
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since the buses are traveling in exactly opposite directions the vector math for speed is very simple:
s = 55 + 45 = 100
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speed of the two buses relative to each other: 100 mph
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s = d / t
t = d / s
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time:
t = d / s
t = 450 / 100
t = 4.5
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Answer:
after 4.5 hours the two buses will be 450 miles apart
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