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(1)/(4)\ minutes = (4 * 1 + 1)/(4) = (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 * 50 = x * 3\\\\3x = 62.5\\\\x = (62.5)/(3)\\\\x = 20.833`

Thus it takes 20.833 minutes to fill a 50 gallon tub