If a pipe can fill a tank in 2 hours but due to leak it takes 20 more minutes - PSA - Quantitative Reasoning

Question

If a pipe can fill a tank in 2 hours but due to leak it takes 20
more minutes Find out how much time time the leak will take to
empty the tank

Varun.Rawat · Accepted Answer

Hi Kate,

Please find below the solution to the asked query:

Total time needed to fill the tank entirely, when leakage is not present = 2 hrsSo, amount of tank filled in 1 hour, when leakage is not present = 12Let the time taken by leakage to empty the entire tank = x hrsSo amount of tank emptied in 1 hour = 1xNow, amount of tank filled in 1 hour when the leakage is also present = 12 - 1x = x-22xSo, we can say that,time taken to fill x-22x portion of the tank = 1 hourhence, time taken to fill the entire tank, when leakage is present = 1x-22x hour = 2xx-2 hourNow, it is given that, when the leakage is present, then it takes 20 minutes more than time taken to fill the tank when leakage is not present
Hence, according to question     2xx-2hour = 2 hours + 20 minutes⇒ 2xx-2 = 2 + 2060   as, 1 min = 160 hr⇒ 2xx-2 = 2 + 13⇒ 2xx-2 = 73⇒7x - 2 = 3×2x⇒7x - 14 = 6x⇒7x - 6x = 14⇒x = 14So, time taken by the leakage to empty the entire tank = 14 hours

To practice with some more questions following are the links of the
similar queries as asked by you:

https://www meritnation
com/ask-answer/question/a-pump-can-fill-a-cistern-in-2-hours-due-to-a-leak-in-the-t/math/6273770â€‹
https://www meritnation
com/ask-answer/question/pipes-a-and-b-can-fill-a-tank-in-12-mns-and-15-mns-if-b/direct-and-inverse-proportions/2150965

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If a pipe can fill a tank in 2 hours but due to leak it takes 20 more minutes. Find out how much time time the leak will take to empty the tank.