Aptitude Discussion

Q. |
Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds? |

✖ A. |
48 |

✔ B. |
24 |

✖ C. |
38 |

✖ D. |
None of these |

**Solution:**

Option(**B**) is correct

Less Cogs ⇒ more turns and less time ⇒ less turns

Table below can be scrolled horizontally

Cogs | Time | Turns | |
---|---|---|---|

A | 54 | 45 | 80 |

B | 32 | 8 | ? |

Number of turns required= \(80\times \dfrac{54}{32}\times \dfrac{8}{45}=24\text{ times}\)

**Bushra**

*()
*

I've added a table to the solution, this might be helpful to you.

**Suhail**

*()
*

We are equating the rate at which it rotates per second,

So we get 80 times per 45 second times number of cogs = x times per 8 seconds times the number of cogs.

54*(80/45)=32*(x/8)

Hope you have got it!

More explanation req pls..