A tap can fill a tank in 8 hours. But it was found that to fill the tank on a certain day it took 9 hours. A leak was discovered. If the tap is closed, how long would it take the leak to empty the entire tank?
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0
Answer:
sorry I don't know the answer
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1
Answer:
72 hours
Step-by-step explanation:
A tap can fill the tank in 8 hours.
In 1 hour, 1/8 of the tank is filled.
On the day that the leak was discovered, it took 9 hours to fill the tank.
In 1 hour, 1/9 of the tank was filled.
The difference between the two rates is 1/8 - 1/9
This is the fraction of the tank's capacity that was getting lost every hour.
The tank was losing 1/8 - 1/9 of its water ever hour
Fraction of water lost every hour = 1/8 - 1/9
= 1/72
=> It will take 72 hours for the tank to get emptied due to the leak.
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