Question

shreya wants to fill the water tank of her home,it should take 3 minutes to fill the tank,but she is aware of the fact that there is a small leak at the bottom of the tank,so the tank will take 4 minutes to fill insted of 3 minutes.when the tank is full,shreya stops filling water in it after how many minutes shreya should fill the water tank again?(tank should be filled again only if it is empty)​

Answer 1

Answer:

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Answer 2

Answer:

it will take 12 minute to empty the tank. the tank has to be filled after 12 minutes

Step-by-step explanation:

given, time taken to fill the tank = 3 minutes

⇒ it fills $\frac{1}{3}$ of the tank in one minute

time taken to fill the tank when leak is present = 4 minutes

⇒ $\frac{1}{4}$ of the tank is filled when a leak is present

let the leakage empty the tank in x minutes

⇒ $\frac{1}{x}$ of the tank is emptied in one minute

part emptied and filled in one minute = $\frac{1}{3}$ - $\frac{1}{x}$

⇒ $\frac{1}{3}$ - $\frac{1}{x}$ = $\frac{1}{4}$

⇒ $\frac{1}{x}$ = $\frac{1}{3}$ - $\frac{1}{4}$

⇒$\frac{1}{x}$ = $\frac{4-3}{12}$

⇒ x = 12 minutes

therefore, it will take 12 minute to empty the tank. the tank has to be filled after 12 minutes