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Well, isn't that a happy little question. Let's see, if you take 420 and divide it by 7, you'll find that 7 goes into 420 a total of 60 times. Just imagine each division as a little tree in a beautiful forest, creating a peaceful and harmonious pattern.
Lydia's speed on Tuesday was 180 miles divided by 3 hours, or 60 mph. If she then drove 7 hours at 60 mph, she drove 420 miles. Altogether, she drove 420 + 180 or 600 miles.