Respuesta :
Answer:
4 Hr.
Step-by-step explanation:
Given,
Your pump alone can empties the water in = 8 hrs
With the help of friend pump it take = 2.67 hr
time taken by friends to empty the whole tank = t = ?
We have,
[tex]\dfrac{1}{8}+\dfrac{1}{t}= \dfrac{1}{2.67}[/tex]
[tex]\dfrac{1}{t}= \dfrac{1}{2.67}-\dfrac{1}{8}[/tex]
[tex]\dfrac{1}{t}=0.2499[/tex]
[tex]t = \dfrac{1}{0.2499}[/tex]
[tex]t = 4\ hrs[/tex]
Time taken to empty the tank by the friends pump alone is equal to 4 Hr.
The time taken should be 4 hours.
Calculation of the time taken:
Since Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2 hours and 40 minutes.
So, here the time taken be
[tex]1\div 8 + 1\div t = 1\div 2.67\\\\1\div t = 1\div 2.67 - 1\div 8\\\\1\div t = 0.2499[/tex]
t = 4 hours
hence, The time taken should be 4 hours.
Learn more about time here: https://brainly.com/question/17186322
