Question

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. $135$
• C. $24$
• D. $36$

Answer 1

The correct option is C $24$

$\frac{3}{4}$ th quarter of $x$ minute=$45$ seconds.

No of cogged wheel $32$ $\therefore 1$ $\therefore 1$ $\therefore 54$ $\therefore 54$

(Time in S) $45$ $45$ $1$ $1$ $8$

No of turns $80$ $\frac{80}{32}$ $\frac{80}{32\times 45}$ $\frac{80\times 54}{32\times 45}$ $\frac{80\times 54\times }{32\times 45}$ =$24$