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  • Question
  • A mother can do a certain job in x hours. Her daughter takes twice as long to do the job. Working together, they can do the job in 6 hours. How many hours does the mother take to do the job ?


  • Options
  • A. 3
  • B. 6
  • C. 9
  • D. 12

  • Correct Answer


  • Explanation

    The mother completes the job in x hours.
    So, the daughter will take 2x hours to complete the same job.

     

    In an hour, the mother will complete 1/x of the total job.
    In an hour, the daughter will complete 1/2x of the total job.

     

    So, if the mother and daughter work together, in an hour they will complete 1/x + 1/2x of the job.
    i.e., in an hour they will complete 3/2x of the job.

     

    The question states that they complete the entire task in 6 hours if they work together.
    i.e., they complete 1/6 th of the task in an hour.

     

    Equating the two information, we get 3/2x = 1/6
    By solving for x, we get 2x = 18 or x = 9.

     

    The mother takes 9 hours to complete the job.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

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      Two posts are x meter apart and the height of one is double that of the other. If from the midpoint of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in meter) of the shorter post is :

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