It takes 20.833 minutes to fill a 50 gallon tub
Solution:
Given that,
It takes 1 & 1/4 minutes to fill a 3-gallon bucket of water with a hose
[tex]1\frac{1}{4}\ minutes = \frac{4 \times 1 + 1}{4} = \frac{5}{4} = 1.25\ minutes[/tex]
Let "x" be the time taken to fill a 50 gallon tub
Therefore, from given,
1.25 minutes = 3 gallon
x minutes = 50 gallon
This forms a proportion and we can solve the sum by cross multiplying
[tex]1.25 \times 50 = x \times 3\\\\3x = 62.5\\\\x = \frac{62.5}{3}\\\\x = 20.833[/tex]
Thus it takes 20.833 minutes to fill a 50 gallon tub
