8th Class Mathematics Direct and Inverse Proportions

  • question_answer 19) A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?

    Answer:

                    Let it take \[x\] hours. We have the following table.     

    Speed (in km/h) 60 80
    Number of hours 2 \[x\]
    Lesser the speed, more the number of hours to reach the destination. So, this is a case of inverse proportion. Hence,       \[60\times 2=80\times x\] \[\Rightarrow \]               \[x=\frac{60\times 2}{80}\] \[\Rightarrow \]               \[x=\frac{3}{2}=1\frac{1}{2}\] Thus, \[1\frac{1}{2}\] hours would be taken.

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