Symbiosis National Aptitude Test SNAP 2013 Paper

Question : 4 of 150

Marks: +1, -0

8 men and 4 women together can complete a piece of work in 6 days. The work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days 4 men left and 4 new women joined, in how many more days will the work be completed?

5 days
8 days
6 days
4 days

Validate

Solution:

1M = 2W
(8M + 4W) × (6 days – 2 days) = (4M + 8W) × x days
(8 × 2W + 4W) × (6 – 2) days
= (4 × 2W + 8W) × x days
(16 + 4)W × 4 days = 16W × x days
∴ x =

{20×4}/{16}

= 5 days [

M_1D_1

M_2D_2

]

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