two cog wheels having teeth 16 and 24 respectively, the bigger wheel make 5 revolution per hour. Then find in how many times the specific peak of the bigger wheel meets the specific peak of the smaller wheel?

• Find the LCM:
  
  LCM = 2⁴ x 3 = 48
  
  
  Interpretation: The specific teeth of the small cog will meet the specific teeth of the big cog at every 48th teeth meet.
  
  
  Number of big cog teeth-rotations:
  
  1 revolution = 24 teeth
  
  5 revolutions = 24 x 5 = 120 teeth
  
  
  Find the number of 48th teeth-meet:
  
  Number of meets = 120 ÷ 48 = 2.5 times
  
  
  Interpretation: The specific teeth of the small cog will meet the specific teeth of the big cog 2 times in the 5 revolutions.
  
  
  Answer: They will meet 2 times.
• 5 years agoHelpfull: Yes(6) No(0)
• 2
  as the lcm of 24 and 16 is 48 so they both meet at 48 and 96 .Since bigger one makes only 5 rotations so only 2 times both peaks meets at specific point.
• 5 years agoHelpfull: Yes(4) No(3)