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    vquidor's Avatar
    vquidor Posts: 4, Reputation: 1
    New Member
    		  
    #1

    Jul 17, 2011, 03:21 AM
    work problem with 3 unknowns?
    A,B&C can finish a job in 10 days, A and B in 12 days and A&C in 20 days. How many days before they finish the job alone?
    SOME ONE CAN GIVE ME A CORRECT SOLUTIONS?
    Answers:
    A = 30
    B = 10
    C = 60
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #2

    Jul 17, 2011, 03:34 AM

    Use rate formulae.

    Amount of work done = Rate of work x Time

    Let the rate of A be a, the rate of b be b and the rate of c be c. Let the total work to be done be w.

    In the first case, you get:

    w = 10a + 10b + 10c

    In the second case you get:

    w = 12a + 12b

    In the third case you get:

    w = 20a + 20c

    You can equate all of them: 10a + 10b + 10c = 12a + 12b = 20a + 20c

    Then solve for a, b and c.
    vquidor's Avatar
    vquidor Posts: 4, Reputation: 1
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    #3

    Jul 17, 2011, 03:46 AM
    YEAH I got It ^_^ Thank you so much...
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #4

    Jul 17, 2011, 03:53 AM

    You're welcome! :)
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