Tom has two ways he could drive home from work. He could take Highway 99 for 45 miles with a speed limit of 65 mi/h, or he could take Interstate 5, which would take him a bit out of the way at 57 miles, but with a speed limit of 75 mi/h. (a) Assuming Tom misses the rush hour and drives at an average speed equal to the maximum speed limit, which route gets him home the fastest? How much time does he save? (b) If Tom breaks the law and travels at 75 mi/h on Highway 99, how much time would he save (if he is not stopped to get a speeding ticket) compared with driving at the legal speed limit on Highway 99?
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