Answer:
15 hours
Step-by-step explanation:
We can use the formula below to solve this:
[tex]\frac{t}{x}+\frac{t}{y}=1[/tex]
Where
t is the time taken for BOTH to fill up the pool [6 hours]
a is the time taken by first tap [10 hours]
b is the time taken by second tap [we need to find this]
Now putting in all the into and solving for y, we get:
[tex]\frac{t}{x}+\frac{t}{y}=1\\\frac{6}{10}+\frac{6}{y}=1\\\frac{6}{y}=1-\frac{6}{10}\\\frac{6}{y}=\frac{2}{5}\\2y=30\\y=15[/tex]
Hence, its gonna take 15 hours for the second tap to fill the pool alone.
