SSC Sample Paper Mock Test-10 SSC CGL Tear-II Paper-1

                     A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?

A)                       4

B) 6

C) 9

D) 18

Correct Answer: A

Solution :

According to question, 10 men's one day's work \[=\frac{1}{12}\]

\[\therefore \]1 men one day s work \[=\frac{1}{12\times 10}=\frac{1}{120}\]

Similarly, 1 woman one day's work\[=\frac{1}{6\times 10}=\frac{1}{60}\]

\[\therefore \] (1 man + 1 woman)'s one day's work

\[=\frac{1}{120}+\frac{1}{60}=\frac{1+2}{120}=\frac{3}{120}\]

\[=\frac{1}{40}\]

(10 men +10 women)'s one day's work \[=\frac{10}{40}=\frac{1}{4}\]

Therefore, both the teams can finish the whole work in 4 days.