| The work done by a woman in 8 h is equal to the work done by a man in 6 h and by a boy in 12 h. If working 6 h per day 9 men can complete a work in 6 days, then in how many days 12 women, 12 men and 12 boys together finish the same work working 8 h per day? [FCI (Assistant) Grade 111 2015] |
A) \[1\frac{1}{3}\,\,days\]
B) \[3\frac{2}{3}\,\,days\]
C) \[1\frac{1}{2}\,\,days\]
D) None of these
Correct Answer: C
Solution :
| Here, efficiency of a woman, a man and a boy |
| \[=\frac{1}{8}:\frac{1}{6}:\frac{1}{12}=3:4:2\] Total units of work \[=9\times 6\times 6\times 4=1296\] |
| Work completed by 12 women, 12 men and 12 boys working 8 h |
| \[=\,\,\,\frac{1296}{12\times 8\times 3+12\times 8\times 4+12\times 8\times 2}\] |
| \[=\,\,\,\frac{1296}{96\,(3+4+2)}=\frac{1296}{96\times 9}=\frac{12}{8}=1\frac{1}{2}\,\,days\] |
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