<PRE><B>Question 1013083</B>
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(rate going) x (time going)=(rate returning) x (time returning)
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Let R=rate going; R+20=rate returning
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(R)(12 hours)=(R+20)(8 hours)
12R=8R+160
4R=160
R=40
Her rate on the way was 40 mph.
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Distance=Rate x Time
Distance=(40 mph)(12 hours)=480 miles
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ANSWER: She lives 480 miles from the mountains.
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CHECK:
480 miles=(Rate returning) x (Time returning)
480 miles=(40 mph+20mph)(8 hours)
480 miles=(60mph)(8 hours)
480 miles=480 miles
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