SOLUTION: Starting at home, Emily traveled uphill to the grocery store for 20 minutes at just 6 mph. She then traveled back home along the same path downhill at a speed of 12 mph. What is

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Question 895513: Starting at home, Emily traveled uphill to the grocery store for 20 minutes at just 6 mph. She then traveled back home along the same path downhill at a speed of 12 mph.
What is her average speed for the entire trip from home to the grocery store and back?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Average speed is always:
( total distance traveled ) / ( total time spent traveling )
Let +d+ = the one-way distance to the store
------------------------
From home to store:
+d+=+6%2A%28+20%2F60+%29+
+d+=+6%2A%28+1%2F3+%29+
+d+=+2+ mi
( note that I converted minutes to hours )
------------------------------------
Let +t+ = time in hours to get home
From store to home:
+d+=+12t+
+2+=+12t+
+t+=+1%2F6+ hr
------------------
Her average speed is:
+%28+2+%2B+2+%29+%2F+%28+1%2F3+%2B+1%2F6+%29+
+4+%2F+%28+2%2F6+%2B+1%2F6+%29+
+4+%2F+%28+3%2F6+%29+
+4+%2F+%28+1%2F2+%29+=+8+ mi/hr