Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: LOGIC MAGIC
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wiz_naf (53)

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SIMPLE LOGIC AND NO  MAGIC.....
Soln -
Let us consider total distance d.
First of all, we consider the first part of the question.
 
time = d/(2v0)              ......1
 
Second part,
 
next distance =v1t........  2
 
and last half distance =V2t      ..........3
 
therefore ,      vt +  vt  =  d /2
 
t = d/[2(v1+ v)]
 
Now,finally
 
from 1,  2 & 3
 
average speed  =  d/{[d/2v0]+ [d/2(v1+v2)] +[d/2(v1+v2)]}
 
average speed  =2v0(v1 + v2 )/[( v1+ v2 ) + 2v]
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