Question

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

• A. 648
• B. 1800
• C. 2700
• D. 10800

Answer 1

The correct option is B 1800

Let the required number of bottles be x.
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
$\begin{array}{cc}Machines& 6:10\\ Time\left(inminutes\right)& 1:4\end{array}\}::270:x$
$\therefore 6\times 1\times x=10\times 4\times 270$
$\Rightarrow x=\frac{(10\times 4\times 270)}{\left(6\right)}$
$\Rightarrow x=1800$