SOLUTION: By using an appropriate average find out the average rate of motion in the case of a person who rides the first mile at the rate of 10 miles per hour, the next mile at the rate of

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Question 720606: By using an appropriate average find out the average rate of motion in the case of a person who rides the first mile at the rate of 10 miles per hour, the next mile at the rate of 8 miles per hour and the third at the rate of 6 miles per hour.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Average speed is always ( total distance / total time )
Total distance = +3+ mi
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+t%5B1%5D+=+1%2F10+
+t%5B2%5D+=+1%2F8+
+t%5B3%5D+=+1%2F6+
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Ave speed = +3+%2F+%28+1%2F10+%2B+1%2F8+%2B+1%2F6+%29+
Ave speed = +3+%2F++%28+24%2F240+%2B+30%2F240+%2B+40%2F240+%29+
Ave speed = +3+%2F+%28+94%2F240+%29+
Ave speed = +%28+3%2A240+%29+%2F+94+
Ave speed = +7.6596+ mi/hr
check:
+3+%2F+%28+.1+%2B+.125+%2B+.16667+%29+
+3+%2F+.39167++=+7.6595+
close enough