math

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vanessa can do a job in 12 days. after she has worked for 4 days, she is joined by susan, and they finish the job together in 2 more days. how long would it have taken susan to do the whole job herself

  • math -

    well, vanessa worked for four days, so she did 4/12 of the job (1/3).
    So in the two-thirds left

    time=jobleft/rate
    where jobleft is 2/3 job and
    rate=vanessarate + susan rate or
    jobleft/2days=job/12days + susanrate
    or 2/3 job/ 2= job/12 + susan rate or
    susan rate= 2/6-1/12= 3/12=
    susan rate= 1job/4days

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