Question 131843
SOLUTION -
 Let the distance be x km
 For passenger train:
  speed of passenger train=96km/h
  therefore time taken by passenger train= distance/speed={{{x/96}}}
 For freight train:
  speed of freight train=64km/h
  therefore time taken by freight train= distance/speed={{{x/64}}}
  Now passenger train takes 2 hours less than freight train
  therefore
           {{{x/96}}}={{{x/64-2}}}
           {{{(x/96)-(x/6)}}}=-2
             {{{(2x-3x)/192}}}=-2
             {{{-x/192}}}=-2
             {{{(-x*-192)/192}}}=-2*-192
             x = 384  
   THEREFORE THE DISTANCE IS 384 KM
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