Question

(7) It takes 1 & 1/4 minutes to fill a 3-gallon bucket of water with a hose. At this rate, how long does it take to fill a 50-gallon tub? *

Answer 1

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

$1\frac{1}{4}\ minutes = \frac{4 \times 1 + 1}{4} = \frac{5}{4} = 1.25\ minutes$

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

$1.25 \times 50 = x \times 3\\\\3x = 62.5\\\\x = \frac{62.5}{3}\\\\x = 20.833$

Thus it takes 20.833 minutes to fill a 50 gallon tub