| A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in [SSC (CGL) 2011] |
A) 4 days
B) 5 days
C) 6 days
D) 7 days
Correct Answer: C
Solution :
| Given,(A + B)'s 1 day's work\[=\frac{1}{8}\] ... (i) |
| (B + C)'s1 day's work \[=\frac{1}{2}\] ... (ii) |
| (C + A)'s 1 day's work\[=\frac{1}{8}\] ... (iii) |
| On adding Eqs. (i), (ii) and (iii), we get |
| 2 (A + B + C)'s 1 day's work |
| \[=\frac{1}{8}+\frac{1}{12}+\frac{1}{8}=\frac{3+2+3}{24}=\frac{8}{24}=\frac{1}{3}\] |
| \[\therefore \](A + B + C)'s 1 day's work \[=\frac{1}{6}\] |
| Hence, the work will be completed in 6 days. |
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