It will take [tex]20\frac{5}{6}[/tex] minutes to fill a 50 gallon tub.
Step-by-step explanation:
Time taken to fill 3 gallons bucket = [tex]1\frac{1}{4}=\frac{5}{4}\ minutes[/tex]
We have to find time required to fill 50 gallons tub.
3 gallons = [tex]\frac{5}{4}\ minutes[/tex]
1 gallon = [tex]\frac{5}{4}*\frac{1}{3}\ minutes[/tex]
1 gallon = [tex]\frac{5}{12}\ minutes[/tex]
To find the time required for 50 gallons;
50 gallons = 50 * Time per gallon
50 gallons = [tex]50*\frac{5}{12}[/tex]
50 gallons = [tex]\frac{250}{12}[/tex] = [tex]\frac{125}{6}[/tex]
50 gallons = [tex]20\frac{5}{6}\ minutes[/tex]
It will take [tex]20\frac{5}{6}[/tex] minutes to fill a 50 gallon tub.
Keywords: fraction, division
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