Question 920380
Distance  = 60 km
 let x and y be the average speeds of two cycles
 if two cycles travel in opposite direction, then relative speed  = x+y
 if two cycles travel in same direction , relative speed  = x-y
 but if two cycles met in an hour in opposite direction. Hence they covered a distance of 60 km in 1 hour. hence their  relative speed is 60 km per hour
                                                            i.e x+y = 60  kmph
if they travel in same direction , they met in five hours
hence relative speed  (x-y) = 60 km /5 hrs
                             = 12  Kmph
                       x-y = 12 kmph
  solving both equations
                x+y = 60 
                x-y = 12 
    adding both equations
             2x  =72 
      x= 36  kmph
         y = 36-12 
              =24  kmph
so speed of both cycles will be 36 kmph and 24 kmph