8th Class Mathematics Direct and Inverse Proportions Question Bank Direct & Inverse Proportional (Time & Work)

  • question_answer
    If x persons working x hours a day for each of y days produce y units of works, then the unit of work produced by y persons working y hours a day for each of x days is

    A)  \[{{y}^{2}}/{{x}^{2}}\]                   

    B)  \[{{y}^{{}}}/{{x}^{2}}\]          

    C)  \[{{y}^{2}}/{{x}^{3}}\]                   

    D)  \[{{y}^{2}}/x\]

    Correct Answer: D

    Solution :

    (d): "x" person, 'x' hours, 'y' days = "y" units \[\Rightarrow \]1 person, 1 hour, 1 day \[\Rightarrow \frac{y}{{{x}^{2}}y}=\frac{1}{{{x}^{2}}}\]units \[\Rightarrow \]y person, y hours, x days \[\Rightarrow \frac{y.y.x}{{{x}^{2}}}\]units \[\Rightarrow \frac{{{y}^{2}}}{x}\]units.


You need to login to perform this action.
You will be redirected in 3 sec spinner