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down to 59 miles per hour. After traveling another mile, he again slows to
58 miles per hour. This continues, progressively slowing by 1 mile per hour
for each mile traveled until the trip is complete.
(a) How long does it take the man to reach his in-laws?
(b) How long would the trip take in the continuous case where the speed
smoothly diminishes with the distance yet to travel?
