Respuesta :
Answer: The correct option is (a) 1 hour 36 minutes.
Step-by-step explanation: Given that a pump will pump 125 gallons per minute.
We are to find the time that the pump will take to empty a 12000 gallon tank.
We have
Time taken by the pump to empty 125 gallons = 1 minute.
So, the time taken by the pump to empty 1 gallon will be
[tex]\dfrac{1}{125}~\textup{minute}.[/tex]
Therefore, time taken by the pump to empty 12000 gallons is given by
[tex]\dfrac{1}{125}\times12000=96~\textup{minute}.[/tex]
Now,
60 minutes = 1 hour.
So, 1 minute will be [tex]\dfrac{1}{60}~\textup{hour}.[/tex]
Therefore, 96 minute will be equal to
[tex]\dfrac{1}{60}\times96=1\dfrac{36}{60}=1~\textup{hour }36~\textup{minutes}.[/tex]
Thus, the pump will take 1 hour 36 minutes to empty 12000 gallon tank.
Option (a) is CORRECT.
