1.

.. A takes 5 days more than B to do a certain job and 9 days more than C; A and B together can do thejob in the same time as C. How many days A wouldtake to do it?​

Answer»

15 daysLet TOTAL work = 1.Time taken by A = t—> Time taken by B = t - 5—> Time taken by C = t - 9Given, 1/t + 1/(t - 5) = 1/(t - 9)—> (2t - 5)(t - 9) = t(t - 5)—> t^2 - 18t + 45 = 0—> (t - 15)(t + 3) = 0—> t = 15


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