8th Class Mathematics Direct and Inverse Proportions

  • question_answer 1)                 A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day assuming the number of school hours to be the same?

    Answer:

                    Let each period be x minutes long. We have the following table                

    Number of periods 8 9
    Length of each period (in minutes) 45 \[x\]
      We note that more the number of periods, lesser would be the length of each period. Therefore, this is case of inverse proportion. So,           \[8\times 45=9\times x\] \[\Rightarrow \]               \[x=\frac{8\times 45}{9}\] \[\Rightarrow \]               \[x=40\]                 Hence, each period would be 40 minutes long.

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