A) 10
B) 12
C) 14
D) 16
Correct Answer: C
Solution :
[c] Part filled by \[(A+B+C)\]in 2 h \[=\left( \frac{1}{6}\times 2 \right)=\frac{1}{3}\] \[\frac{2}{3}\]part is filled by \[(A+B)\]in 7 h. Whole is filled by \[(A+B)\]in \[\left( 7\times \frac{3}{2} \right)\,h=\frac{21}{2}\,h\] Part filled by C in \[1\,\,h\left( \frac{1}{6}-\frac{2}{21} \right)\] \[=\frac{3}{42}=\frac{1}{14}\] \[\therefore \]C alone can fill it in 14 h. |
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