| A pipe can fill a tank in 24 h. Due to a leakage in the bottom. It is filled in 36 h. If the tank is half full, how much time will the leak take to empty the tank? [SSC (CGL) 2015] |
A) 24 h
B) 48 h
C) 72 h
D) 36 h
Correct Answer: D
Solution :
| Let the leak will empty the full tank in x h, |
| \[\therefore \] From question, |
| \[\frac{1}{24}-\frac{1}{x}=\frac{1}{36}\]\[\Rightarrow \,\]\[\frac{1}{x}=\frac{1}{24}-\frac{1}{36}\frac{1}{2}\] |
| \[\Rightarrow \] \[\frac{1}{x}=\frac{3-2}{72}=\frac{1}{72}\] |
| So, the pipe will take 72 h to empty the full tank, Therefore, to empty half the tank it will take 36 h. |
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