Quantitative Aptitude Ques 519

Question: A project manager hired 16 men to complete a project in 38 days. However, after 30 days, he realised that only $ \frac{5}{9}th $ of the work is complete. How many more men does he need to hire to complete the project on time? [SBI (PO) 2015]

Options:

A) 48

B) 24

C) 32

D) 16

E) 36

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Given, $ M _1=16, $ $ D _1=30, $ $ W _1=\frac{5}{9}, $ $ M _2=x, $ $ D _2=8, $ $ W _2=\frac{4}{9} $ Using the formula, $ \frac{M _1D _1}{W _1}=\frac{M _2D _2}{W _2} $
    $ \Rightarrow $ $ \frac{16\times 30}{\frac{5}{9}}=\frac{x\times 8}{\frac{4}{9}} $

$ \Rightarrow $
$ \Rightarrow $
$ \Rightarrow $ $ x=48 $

$ \therefore $ More men needed to hire to complete the project on time $ =48-16=32 $ men

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