SOLUTION: If it takes 3 minutes to fill 4/5 of a tub how much longer will it take to fill the rest?

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Question 918999: If it takes 3 minutes to fill 4/5 of a tub how much longer will it take to fill the rest?
Found 3 solutions by josmiceli, Alan3354, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
There is of the tub left to fill
---------
The rate of filling stays the same, so
rate =
and, also
rate =
so, I can say:




It takes 3/4 of a minute to fill the rest
check:
I can now say that the rate is:

This is just ( rate ) = ( rate )


OK

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If it takes 3 minutes to fill 4/5 of a tub how much longer will it take to fill the rest?
----
4/5 in 3 mins --> 4/15 in 1 minute
Fill rate = 4/15 of a tub/min
min/tub = 1/(tub/min) = 1/(4/15) = 15/4 minutes
= 3.75 minutes
------------------
or
3/0.8 = t/1
0.8t = 3
t = 3/0.8
t = 3.75 minutes

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If it takes 3 minutes to fill 4/5 of a tub how much longer will it take to fill the rest?

Let additional time be T
Then:
------ Cross-multiplying

4T = 3 ------ Denominators are equal, and so are the numerators
T, or additional time taken to fill tub = min, or min
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