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Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.

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  • Dixit Nayak 8 years ago

    Two workers undertake to do a job. 2nd worker
    started two hours after the 1st. 5 hours after the 2nd worker
    started the work, only 11/20 work was done. In how
    many hours they can complete the work independently, if it is known that 1st
    worker did 60% of the total work and 2nd worker did the rest???

  • Shubham sanware 9 years ago

    How 1 hour work is 1/8 ?

  • Awais 11 years ago

    where is came from?? means 40/9?? and how is it done 4/4/9

    mastguru 11 years ago replied

    Hello Awais,

    as we calculated that work done by A and B in 1 hour is 9/40 hour

    It means both will finish work in 40/9 hour, here denominator becomes numerator and numerator become denominator.

    or say if You can finish a task in 8 days, it means you will finish 1/8 in 1 day, right.

    Also if you can finish 1/8 in 1 day then it means you will finish it in 8 days. so it is inverse of that.

    In same way we got 40/9 from 9/40

    also 4(4/9) = 40/9,

    As options were given in this format so we had to break it in this form.

    In this type of form,

    we calculate as,

    (4*denominator+numerator)/denominator,

    i.e. (4*9+4)/9 = 40/9

    Hope it helps.