Q:
      
      
         
            
A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?
         
       
      
      
      
          
      
      
          Answer & Explanation
         Answer: C) 1400         
         
Explanation: Given the ratio of the circumference of front wheel  is 40 inches and back wheel is 70 inches. 
 
Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel
 
If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15
 
Distance covered by both the wheels is the same
 
i.e, 40*(n+15)=70n
 
 n=20 
 
 
 
                Front wheel      :      Back Wheel 
 
 Circumference       40      :      70 
 
 Revolutions           35      :      20
 
 
 
Distance covered  :  40×35 = 70×20 = 1400 inches.
       
      
      
      
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