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LIC AAO Model Paper 10

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Question : 48 of 160

Marks: +1, -0

A project requires 12 women to complete it in 16 days, women started working and after a few days from the start of the project, 4 women left. If the remaining project was completed in 18 days, in how many days the whole project was completed ?

24 $\frac{1}{2}$
26
22
21 $\frac{1}{2}$
20

Solution:

Work done by 8 women in 18 days =

W_2

(let)

∴

\frac{M_1 D_1}{W_1}

=

\frac{M_2 D_2}{W_2}

⇒

\frac{12 \times 16}{1}

=

\frac{8 \times 16}{W_2}

⇒

W_2

=

\frac{8 \times 18}{12 \times 16}

=

\frac{3}{4}

∴ Remaining work

= 1 - 3/4 = 1/4

This part of work was done by 12 women.

∴ Time taken by them = 4 days

∴ Required time = 18 + 4

= 22 days

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