1.

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

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.


Discussion

No Comment Found

Related InterviewSolutions