a1865 = 276.5 seconds and a1954 = 239.4 seconds. Assuming the speeds decrease from year to year in an arithmetic pattern (which they actually have done, more or less), use the information given above to find d.

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Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
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According to the 1998 Information Please Almanac, the official speed record for running one mile was held by Richard Webster of England in 1865, with a time of 4 minutes 36.5 seconds.


Roger Bannister, also of England, was the first to run a mile in less than four minutes, clocking a time of 3 minutes 59.4 seconds in 1954.

There are (of course) 60 seconds in each minute. Therefore, we could convert both times into seconds, writing them as follows:

a1865 = 276.5 seconds and a1954 = 239.4 seconds.

Assuming the speeds decrease from year to year in an arithmetic pattern (which they actually have done, more or less), use the information given above to find d

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