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Three gears of a transmission have a total of 85 teeth. While the first makes 5 revolutions, the second 9 and the third 15 times. How many teeth does each wheel have?

 Jun 27, 2021

Best Answer 

 #1
avatar+35057 
+2

5+9+15 = 29           5 revs = 9 revs of 2nd       9 revs of 2nd = 15 revs of third  

                    2nd gear has 5/9 as many teeth   as 1st     3rd has  9/15 asmany as second = 9/15 * 5/9 as first

 

 

x + 5/9x + 9/15*5/9 x = 85

x = 45        then second has   25       and third has  15 teeth

 Jun 27, 2021
 #1
avatar+35057 
+2
Best Answer

5+9+15 = 29           5 revs = 9 revs of 2nd       9 revs of 2nd = 15 revs of third  

                    2nd gear has 5/9 as many teeth   as 1st     3rd has  9/15 asmany as second = 9/15 * 5/9 as first

 

 

x + 5/9x + 9/15*5/9 x = 85

x = 45        then second has   25       and third has  15 teeth

ElectricPavlov Jun 27, 2021

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