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Two water taps together can fill …

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Two water taps together can fill a tank in 6 hours the tap of larger diameter takes 9 hours less than the smaller one to fill the tank separately .find the time in which each tap can separately fill the tanm.

    • Posted by Mahendra Pal 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Swetanshu Kumar 6 years, 10 months ago

    letr time taken by smaller tap be x time taken by larger tap= x-9 1/x+1/x-9=1/6 x-9+x/x^2-9x =1/6 2x-9/x^2-9x = 1/6 6(2x-9)= x^2-9x 12x-54 = x^2-9x x^2-9x-12x+54 = 0 x^2-21x+54=0 x^2-18x-3x+54=0 x(x-18)-3(x-18)=0 (x-18)(x-3)=0 x=18 or 3 x=18 time taken by smaller tap =18 hrs. time taken by larger tap= 9 hrs.

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