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

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If it takes 3 minutes to fill 4/5 of a tub how much longer will it take to fill the rest?      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
There is +1+-+4%2F5+=+1%2F5+ of the tub left to fill
---------
The rate of filling stays the same, so
rate = +%28%28+4%2F5+%29%29+%2F+3+
and, also
rate = +%28%28+1%2F5%29%29+%2F+t+
so, I can say:
+%28%284%2F5%29%29%2F3+=+%28%281%2F5%29%29%2Ft+
+%284%2F5%29%2At+=+%281%2F5%29%2A3+
+4t+=+3+
+t+=+3%2F4+
It takes 3/4 of a minute to fill the rest
check:
I can now say that the rate is:
+%28%28+4%2F5+%2B+1%2F5+%29%29+%2F+%28%28+3+%2B+3%2F4+%29%29+=+%28%28+4%2F5+%29%29+%2F+3+
This is just ( rate ) = ( rate )
+1+%2F+%28%28+15%2F4+%29%29+=+4%2F15+
+4%2F15+=+4%2F15+
OK

Answer by Alan3354(69443) About Me  (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) About Me  (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: %284%2F5%29%2F%281%2F5%29+=+3%2FT
T%284%2F5%29+=+3%281%2F5%29 ------ Cross-multiplying
4T%2F5+=+3%2F5
4T = 3 ------ Denominators are equal, and so are the numerators
T, or additional time taken to fill tub = highlight_green%283%2F4%29 min, or highlight_green%28.75%29 min