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March 24, 2017

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A and B caan finish typing a manuscript in 8/3 days; B and C together, in 40/9 days; A and C together in 20/7 days. How long will each, working alone type the manuscript?

  • Math - ,

    work done = (actual time worked) / (req'd time to finish a task)

    'completed' work = 1

    so let
    A = time req'd for A
    B = time req'd for B
    C = time req'd for C

    there will be 3 equations:

    (8/3A) + (8/3B) = 1

    (40/9B) + (40/9C) = 1

    (20/7A) + (20/7C) = 1

    use elimination method to solve the problem.

  • Math - ,

    So if i eliminate C first would the resulting two equations be:

    (8/3A) + (8/3B) = 1
    (1/A) + (1/B) = (-8/20)

    ???????

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