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Let the time taken by 'A' and 'B' to do the work together be 'x' days So, time taken by 'A' alone to do the work = (x + 16) days So, (1/x) = {1/(x + 16)} + (1/60) Or, x(x + 16 + 60) = 60 X (x + 16) Or, x2 + 76x = 60x + 960 Or, x2 + 16x - 960 = 0 Or, x2 + 40x - 24x - 960 = 0 Or, x(x + 40) - 24(x + 40) = 0 Or, (x + 40)(x - 24) = 0 So, x = 24 or x = -40 So, time taken by 'A' to do the work alone = 24 + 16 = 40 days And, time taken to do 125% of the work = 40 X 1.25 = 50 days
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