Question

a pipe usually fills a tank in 3 hours due to a leak in the bottom of the tank it takes the pipe 20 more minutes to fill the tank how long will the leak take to empty a full tank if the pipe is shut?

Answer 1

$\textbf {Hey there, here is the solution.}$

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Time needed to fill the tank without the leak = 3 hours = 180 mins

⇒ 1 min = 1/180

.

Time needed to fill the tank with the leak = 3 hours 20 mins = 200 mins

⇒ 1 min 1/200

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STEP 1: Find the speed of the leak

1 min = 1/180 - 1
/200 = 1/1800 of the tank

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STEP 2: Find the amount of time needed to empty the tank:

1 min = 1/1800 of the tank

.

1/1800 of the tank = 1 min

1800/1800 of the tank = 1 x 1800 mins

1 tank = 1800 mins = 30 hours

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Answer: It will take 30 hours to empty the tank

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⭐$\textbf {Cheers}$⭐

Answer 2

Answer:

21 hrs

Step-by-step explanation:

Let the leakage alone empty the tank in X- hours.

So 1/3- 1/X= 1/3.5.

So 1/X= 1/3- 1/3.5.

= (3.5–3.0)/10.5.

= 0.5/10.5.

= 1/21.

Therefore the leakage will empty the full tank in = 21- hours.