A takes 6 days less than …

Secondary SchoolMath 5 points A takes 6 days less than B to do a work. If both A and B working together can do it in 4 days, how many days will B take to finish it? Ask for details Follow Report by AryanVerma 07.04.2017 Answers lohithnaik5 lohithnaik5 Ambitious B alone finish work in x days A alone work in x/x -6 A one day works= 1/(x-6) and B one day works = 1/x A+B one day work = 1/4 so, 1/(x-6) + 1/x =1/4 x+x-6/x(x-6) = 1/4, 2x-6/x(x-6) =1/4 4(2x-6) = x(x-6), 8x-24 = xsq - 6x, x sq -14x +24 = 0 ans : x = 12 or 2 ------------------------------------------------------------------------------------------------------ HOPE IT WILL HELP YOU FRIEND 4.3 29 votes Comments (1) Report AryanVerma Thank you for help. Log in to add a comment bansalmridul20pak7ey Helping Hand Let the time taken by B to complete the work be x days. in these type of questions , we should convert the work done into 1 day. So , According to the question 1/x + 1/x-6 = 1/4 => x-6+x / x(x-6) = 1/4 => 2x-6 / x^2-6x = 1/4 => 8x-24 = x^2-6x => x^2-14x+24 = 0 => (x^2-12x)+(-2x+24) = 0 => (x-12) (x-2) = 0 => x = 12 , 2 if the time taken by B to complete the work is 2 days then the time taken by A to complete the work will be -4 days which is not possible. => time taken by B to complete the work is 12 days . HOPE THIS HELPS YOU .

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