There are two connected gears. one has 60 teeth and it makes 50 complete revolutions in a minute. how many complete revolutions will the second gear complete, if it has 40 teeth?

The second gear will complete 75 complete revolutions

Step-by-step explanation:

- There are two connected gears

- One has 60 teeth and the other has 40 teeth

- The two gears have different revolutions depends on the number of

  their teethes

- They do the same job

- The relation between them is

   , where n is the number of the complete

   revolutions and c is the number of the teeth

- The gear which has less teethes makes more complete revolutions

∵ = 50

∵ = 60

∵ = 40

- Substitute these values in the rule below

∵ × = ×

∴ 50 × 60 = × 40

∴ 3000 = 40

- Divide both sides by 40

∴ = 75 complete revolutions

The second gear will complete 75 complete revolutions