InterviewSolution
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Two workers Anushka and Kriya working together completed a job in 4 days. If Anushka worked two-third times as efficiently as she actually did and Kriya worked one-sixth as efficiently as she actually did, the work would have been completed in 8 days. To complete the job alone, Anushka would require1). 12 days2). 6 days3). 8 days4). 9 days |
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Answer» Let number of DAYS needed by ANUSHKA and Kriya to finish the work be x and y respectively. ∴ part of work done by Anushka in one day = 1/x And part of work done by Kriya in one day = 1/y ∴ Part of work done by both of them working together $(= \;\frac{1}{x} + \frac{1}{y} = \frac{1}{4})$-------(i) According to the question, if Anushka worked (2/3) as efficiently as she actually did, Part of work done by Anushka in one day = 2/3x Also, Kriya worked (1/6) as efficiently as she actually did, ∴ Part od work FINISHED by Kriya in one day = 1/6y In this case, the work would have been completed in 8 days. $(\therefore \frac{2}{{3x}} + \frac{1}{{6y}} = \frac{1}{8})$---------(II) Solving equation (i) and (ii) simultaneously, we get ⇒ x = 6 ∴ Anushka would require 6 days to complete the job alone. |
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