SOLUTION: Little red riding hood rides to grandmas house at 20 mph . She goes back on the same path at 35 mph . What is the average speed ?

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Question 971470: Little red riding hood rides to grandmas house at 20 mph . She goes back on the same path at 35 mph . What is the average speed ?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Average speed is always:
[ total distance traveled ] / [ time to travel that distance ]
Let +d+ = one-way distance to grandma's house
----------------
Distance to house:
+d+=+20t%5B1%5D+
Distance going back:
+d+=+35t%5B2%5D+
--------------------
Ave speed:
+2d+%2F+%28+t%5B1%5D+%2B+t%5B2%5D+%29+
+2d+%2F+%28+d%2F20+%2B+d%2F35+%29+
Divide top and bottom by +d+
+2+%2F+%28+1%2F20+%2B+1%2F35+%29+
Multiply top and bottom by +140+
+280+%2F+%28+7+%2B+4+%29+
+280%2F11+=+25.4545+ mi/hr
Hope this makes sense

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Little red riding hood rides to grandmas house at 20 mph . She goes back on the same path at 35 mph . What is the average speed ?
---------------
Avg speed = 2*20*35/(20+35)
= 1400/55 = 280/11 mi/hr
=~ 25.45 mi/hr