A) 6250
B) 5760
C) 5200
D) 4546
Correct Answer: B
Solution :
[b] Let the time taken by pipe to fill the tank is x h. Then, according to the question, \[\frac{1}{8}-\frac{1}{x}=\frac{1}{12}\]\[\Rightarrow \]\[\frac{1}{8}-\frac{1}{12}=\frac{1}{x}\]\[\Rightarrow \]\[\frac{1}{x}=\frac{1}{24}\] \[\therefore \] \[x=24\,h\] Now, pipe fills in 1 min \[=4\,L\] \[24\,h=4\times 24\times 60=5760\,L\] Hence, the capacity of tank is 5760 L. |
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