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: Option B
Solution(By Examveda Team)
Let the required number of bottles be x.More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
\[\left. \begin{gathered} {\text{Machines}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{6}}:10 \hfill \\ {\text{Time(in min}}{\text{.)}}\,\,{\text{1}}:4 \hfill \\ \end{gathered} \right\}::270:x\]
$$\eqalign{ & \therefore 6 \times 1 \times x = 10 \times 4 \times 270 \cr & \Rightarrow x = \frac{{ {10 \times 4 \times 270} }}{{ 6 }} \cr & \Rightarrow x = 1800 \cr} $$
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