SATHEE: Quantitative Aptitude Ques 2413

Quantitative Aptitude Ques 2413

Question: If 17 labourers can dig a ditch 26 m long in 18 days, working 8 h a day, then how many more labourers should be engaged to dig a similar ditch 39 m long in 6 days, each labourer working 9 h a day?

Options:

A) 34

B) 51

C) 68

D) 85

Show Answer

Answer:

Correct Answer: B

Solution:

Let the total number of men to be engaged be x, More length, more labourers [Direct proportion] Less days, more labourers [Indirect proportion] More hours per day, less labourers [Indirect proportion] $ . \begin{matrix} Length & 26\text{:}39 \\ Days & 6\text{:}18 \\ Hours,per,day & 9\text{:}8 \\ \end{matrix} }\text{::}17\text{:}x $

$ \therefore $ $ (26\times 6\times 9\times x)=(39\times 18\times 8\times 17) $

$ \Rightarrow $ $ x=\frac{(39\times 18\times 8\times 17)}{(26\times 6\times 9)}=68 $

$ \therefore $ Number of more labourers $ =(68-17)=51 $

Quantitative Aptitude Ques 2412

Quantitative Aptitude Ques 2414

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