A) 10 days
B) 12 days
C) 14 days
D) 9 days
Correct Answer: B
Solution :
[b] Let the work be complete in x days. Then, according to the question, \[\frac{x}{16}+\frac{x-8}{32}+\frac{x-6}{{}}48=1\] \[\Rightarrow \] \[\frac{6x}{96}+\frac{3(x-8)}{96}+\frac{2(x-6)}{96}=1\] \[\Rightarrow \] \[6x+3x-24+2x-12=96\] \[\Rightarrow \] \[11x-396\]\[\Rightarrow \]\[x=\frac{96+36}{11}\] \[\therefore \] \[x=\frac{132}{11}=12\,\text{days}\] |
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