A pipe can fill the tank with water in 2 hours.Because of leak,it took 2 1 by 3 hour to fill the tank.If the tank is full,in how much time will it be emptied by the leak?
Guys this is class 10 mathematic question
Guys this is class 10 mathematic question
Answers & Comments
Step-by-step explanation:
Given:
A pump can fill a tank with water in 2 hours
With the leakage, the Pump takes 2 hours to fill the tank.
Concept Used:
The time taken to fill/empty the tank is inversely proportional to the efficiency.
Calculation:
According to the question,
A pump can fill a tank with water in 2 hours.
The rate of filling the tank by pipe = 1/2
Again, With the leakage, the pipe takes 2 i.e. 7/3 hours to fill the tank.
Now, According to the concept used :
The rate of filling the tank by pipe along with the leakage will be 3/7.
The rate of leak in the tank = (1/2 - 3/7) = 1/14
Again, According to the Concept used,
The time taken by the leak to empty the tank = 1/(1/14) = 14.
∴ The time taken by the leak to empty the tank is 14 hours.
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Step-by-step explanation:
A pump can fill a tank with water in 2 hours
With the leakage, the Pump takes 2 hours to fill the tank.
Concept Used:
The time taken to fill/empty the tank is inversely proportional to the efficiency.
Calculation:
According to the question,
A pump can fill a tank with water in 2 hours.
The rate of filling the tank by pipe = 1/2
Again, With the leakage, the pipe takes 2 i.e. 7/3 hours to fill the tank.
Now, According to the concept used :
The rate of filling the tank by pipe along with the leakage will be 3/7.
The rate of leak in the tank = (1/2 - 3/7) = 1/14
Again, According to the Concept used,
The time taken by the leak to empty the tank = 1/(1/14) = 14.
∴ The time taken by the leak to empty the tank is 14 hours.