SOLUTION: find the average speed of a motorcyclist if he drives from A to B with a uniform speed of 30kmph and returns back with a speed of 20kmph.

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Question 739954: find the average speed of a motorcyclist if he drives from A to B with a uniform speed of 30kmph and returns back with a speed of 20kmph.
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What the average is NOT is the average of the
2 speeds, which would be
+%28+30+%2B+20+%29+%2F+2+=+25+ km
-------------------------
The average speed is ALWAYS
( total distance ) / ( total time )
--------------------------
No distance is given, so I can assign any
distance I want, so I will say that the one-way
distance is +100+ km
----------------------
A to B
+100+=+30%2At%5B1%5D+
+t%5B1%5D+=+10%2F3+ hrs
---------------
B to A
+100+=+20%2At%5B2%5D+
+t%5B2%5D+=+5+ hrs
--------------
The total distance is
+100+%2B+100+=+200+ km
+t%5B1%5D+%2B+t%5B2%5D+=+5+%2B+10%2F3+ hrs
+5+%2B+10%2F3+=+15%2F3+%2B+10%2F3+
+t%5B1%5D+%2B+t%5B2%5D+=+25%2F3+
-------------------
The average speed is:
+200+%2F+%28+25%2F3+%29+
+200%2A%283%2F25%29+=+600%2F25+
+24+
The average speed is 24 km/hr


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the average speed of a motorcyclist if he drives from A to B with a uniform speed of 30kmph and returns back with a speed of 20kmph.
--------------
avg = 2*30*20/(30+20)
= 24 km/hr