SATHEE: Quantitative Aptitude Ques 1416

Quantitative Aptitude Ques 1416

Question: Seventy five men are employed to lay down a railway line in 3 months. Due to certain emergency conditions, the work was to be finished in 18 days. How many more men should be employed to complete the work in the desired time?

Options:

A) 300

B) 326

C) 350

D) 375

Show Answer

Answer:

Correct Answer: A

Solution:

75 men can lay down railway line in 3 months, i.e. $ (3\times 30=90\text{days)} $ Now, let x men can lay down railway line in 18 days. We know that, $ M _1D _1=M _2D _2 $ (i) Here, $ M _1=75, $ $ D _1=90 $ $ M _2=x, $ $ D _2=18 $ On putting the values in Eq. (i), we get $ 75\times 90=x\times 18 $
$ \Rightarrow $ $ x=\frac{75\times 90}{18} $

$ \Rightarrow $ $ x=75\times 5=375men $

$ \therefore $ 375 men can lay down railway line in 18 days. Now, number of more man required will be $ =375-75=300men $

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