Running at the same constant rate, 6 identical machines can produce a total o...

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Question Id : 11194 | Context :NIMCET 2022

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?

🎥 Video solution / Text Solution of this question is given below:

Let the required number of bottles be x.

More machines, More bottles (Direct Proportion)

More minutes, More bottles (Direct Proportion)

$\begin{matrix}{\begin{matrix}{Machines} & {6\colon10}\end{matrix}} \\ {\begin{matrix}{Time} & {\, \, \, \, \, \, \, \, \, \, 1\colon4}\end{matrix}}\end{matrix}\Bigr{\}}: : 270:x$

∴

$6×1×x=10×4×270$

⇒

$x= \frac{(10×4×270)}{6}$

⇒

$x=1800$

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