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Mathematics

In 5 hours, a machine makes 45 screws. In 12 hours, the same machine will make:

  1. 36 screws

  2. 90 screws

  3. 72 screws

  4. 108 screws

Direct & Inverse Variations

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Answer

Let the machine make x screws.

HoursScrews
545
12x

Since it is a case of direct variation.

545=12xx=45×125x=5405x=108\therefore \dfrac{5}{45} = \dfrac{12}{x}\\[1em] \Rightarrow x = \dfrac{45 \times 12}{5}\\[1em] \Rightarrow x = \dfrac{540}{5}\\[1em] \Rightarrow x = 108

Hence, option 4 is the correct option.

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