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

  • question_answer
    A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every 3rd day?

    A)  12 days           

    B)  15 days  

    C)  16 days           

    D)  18 days

    Correct Answer: B

    Solution :

    (b): A+B+C can together do work in \[\frac{1}{\frac{1}{20}+\frac{1}{30}+\frac{1}{60}}\]days = 10days . \[\therefore \]In 1 day, they can do 1/10 part of work. In 1 day, A can do 1/20 part work. In 2 days, A can do 1/10 part work. Since every 3rd day, B & C join A = In every 3 days, \[\frac{1}{10}+\frac{1}{10}=\frac{1}{5}\] work is done. = In 15 days\[\left( 3\times 5 \right)\], full work will be done.


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