SSC Sample Paper Mock Test-18 SSC CGL Tear-II Paper-1

A and B together can do a work in 8 days. B and C together in 6 days while C and A together in 10 days, if they all work together, the work will be completed in

A) \[3\frac{3}{4}\text{days}\]

B) \[3\frac{3}{7}\text{days}\]

C) \[5\frac{5}{47}\text{days}\]

D) \[4\frac{4}{9}\text{days}\]

Correct Answer: C

Solution :

(A+B)'s 1 day's work \[=\frac{1}{8}\] ...(i)

(B+C)'s day's work\[=\frac{1}{6}\] ?(ii)

(C+ A) 's 1 day's work \[=\frac{1}{10}\] ...(iii)

On adding, = 2(A + B + C)'s

1 day?s work

\[=\frac{1}{8}+\frac{1}{6}+\frac{1}{10}=\frac{15+20+12}{120}=\frac{47}{120}\]

(A + B + C)'s 1 day's work \[=\frac{47}{240}\]

\[\therefore \] (A + B + C) together will complete the work in

\[\frac{240}{47}=5\frac{5}{47}\text{days}\]