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Aptitude · Q335

Time And Work

Competitive Exams · Aptitude · question 335

Q335

If one man or two women or four boys or five girls can finish a work in 39 days, then how many days will one man, one woman, one boy and one girl together take to finish the same work?

A.
40
B.
10
C.
30
D.
20
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
Man × 39 = 2 Women × 39 = 4 Boys × 39 = 5 Girls × 39
\begin{array}{*{20}{c}} {}&\begin{gathered} {\text{M}} \hfill \\ \, \downarrow \hfill \\ {\text{20}} \hfill \\ \end{gathered} &\begin{gathered} = \hfill \\ \hfill \\ \hfill \\ \end{gathered} &\begin{gathered} {\text{2W}} \hfill \\ \,\, \downarrow \hfill \\ {\text{10}} \hfill \\ \end{gathered} &\begin{gathered} = \hfill \\ \hfill \\ \hfill \\ \end{gathered} &\begin{gathered} {\text{4B}} \hfill \\ \,\, \downarrow \hfill \\ \,\,5 \hfill \\ \end{gathered} &\begin{gathered} = \hfill \\ \hfill \\ \hfill \\ \end{gathered} &\begin{gathered} {\text{5G}} \hfill \\ \,\, \downarrow \hfill \\ \,\,4 \hfill \\ \end{gathered} \\ {{\text{Efficiency}} \to }&{\text{M}}&{}&{\text{W}}&{}&{\,\,{\text{B}}}&{}&{\,\,{\text{G}}} \end{array}
Total work = 20 × 39
20 × 39 = (M + W + B + G) × d
20 × 39 = 39 × d
d = 20 days