Answer:
12 hours
Step-by-step explanation:
The computation of the number of hours does the smaller pipe takes for working alone is shown below:
Given that
Total time taken for both types is 4 hours
And, the larger pipe alone can take 6 hours
Now for the smaller pipe we assume x
So,
[tex]\frac{1}{4} = \frac{1}{6} + \frac{1}{x} \\\\\frac{1}{4} - \frac{1}{6} = \frac{1}{x} \\\\\frac{6 - 4}{24} = \frac{1}{x} \\\\\frac{2}{24} = \frac{1}{x} \\\\\frac{1}{12} = \frac{1}{x} \\\\[/tex]
x = 12 hours
