A bottle filling machine can fill 238 bottles in 2hrs. In 7hrs, it can fill

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Question

A bottle filling machine can fill 238 bottles in 2hrs. In 7hrs, it can fill

___ bottles.

Options:

Answer: Option A
:

$\begin{matrix} N u m b e r o f b o t t l e s & 238 & y T i m e (I n h o u r s) & 2 & 7 \end{matrix}$
The time taken and the number of bottles filled are directly proportional.
$\frac{A}{B}$ = Constant
$\frac{A_{1}}{B_{1}}$ = $\frac{A_{2}}{B_{2}}$
$\frac{2}{238} = \frac{7}{y}$
$\Rightarrow y = \frac{7 \times 238}{2}$
$\Rightarrow y = 833$ bottles

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