anonymous
  • anonymous
Working together, 7 identical pumps can empty a pool in 6 hours. How many hours will it take 4 pumps to empty the same pool?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@satellite73 can we take this one slow too?
anonymous
  • anonymous
sure unit rate again
anonymous
  • anonymous
So 7/6 will be how much 1 pump can empty a pool

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More answers

anonymous
  • anonymous
careful
anonymous
  • anonymous
lets start with how much 7 pumps do per hour
anonymous
  • anonymous
isn't that what 7/6 finds?
anonymous
  • anonymous
7 pumps take 6 hours, so 7 pumps do \(\frac{1}{6}\) per hour
anonymous
  • anonymous
oh okay
anonymous
  • anonymous
how much does one pump do? don't multiply by 7, divide (like last time)
anonymous
  • anonymous
1/42
anonymous
  • anonymous
ok good now each pump does \(\frac{1}{42}\) per hour, how much does 4 pumps do (this time multiply)
anonymous
  • anonymous
4/42
anonymous
  • anonymous
right
anonymous
  • anonymous
or you can reduce to get \(\frac{2}{21}\)
anonymous
  • anonymous
hmmmm did we do something wrong? my answer say 42/4 = 10 1/2
anonymous
  • anonymous
you want to see how long it takes to do one job,
anonymous
  • anonymous
solve \[\frac{2}{21}T=1\] making \[T=\frac{21}{2}\]
anonymous
  • anonymous
no we didn't do anything wrong, we just were not done yet we got the unit rate at \(\frac{2}{21}\) but we need the total time
anonymous
  • anonymous
ohhh okay
anonymous
  • anonymous
they do 2/21 of a job per hour, takes 21/2 hours to do one job
anonymous
  • anonymous
ohhh okay
anonymous
  • anonymous
there may have been a quicker way to do this, but it is good to know how to get the unit rate so you can do all kinds of problems with it
anonymous
  • anonymous
hmmm ok
anonymous
  • anonymous
so do we now multiply by 4?
anonymous
  • anonymous
no now we are done
anonymous
  • anonymous
ohhh okay this is a different method i got it now
anonymous
  • anonymous
we got the unit rate of \(\frac{1}{42}\) that was pump per hour
anonymous
  • anonymous
then we multiplied by 4 to get the rate for 4 pumps and got \(\frac{2}{21}\)
anonymous
  • anonymous
ahhhh ic
anonymous
  • anonymous
then we solved \[\frac{2}{21}T=1\] the 1 being one pool
anonymous
  • anonymous
if it was two pools it would have been \[\frac{2}{21}=2\]
anonymous
  • anonymous
hmmm okay i think i understand now i'll review the last 2 problems we did a couple of times
anonymous
  • anonymous
ok if you get stuck let me know
anonymous
  • anonymous
i will thanks <333
anonymous
  • anonymous
we can make one up and do it now if you like
anonymous
  • anonymous
yes yes that would help even more
anonymous
  • anonymous
see that they are not that hard and are largely the same
anonymous
  • anonymous
yea
anonymous
  • anonymous
you want me to make it up, or you want to?
anonymous
  • anonymous
can u ?
anonymous
  • anonymous
k they numbers might not come out real nice if i make it up off the top of my head, but no matter
anonymous
  • anonymous
ok
anonymous
  • anonymous
it takes 5 hours for 8 men to build one wall how long would it take 10 men to build 2 walls (sexist i now but whatever)
anonymous
  • anonymous
first find the unit rate for one man let me know when you think you have it
anonymous
  • anonymous
1/8 divided by 5 = 1/40
anonymous
  • anonymous
yay!
anonymous
  • anonymous
now the rate for 10 men
anonymous
  • anonymous
1/40 * 10 = 10/40 = 1/4
anonymous
  • anonymous
ok good now how long to build 2 walls
anonymous
  • anonymous
1/4 * 2= 2/4= 1/2
anonymous
  • anonymous
aw damn we were doing so well
anonymous
  • anonymous
oh crap...
anonymous
  • anonymous
not going to take half an hour !
anonymous
  • anonymous
now we need to go slow either we solve \[\frac{1}{4}T=2\]
anonymous
  • anonymous
ohhhhhh yeaaaa thats right so 8
anonymous
  • anonymous
yup
anonymous
  • anonymous
ok i'll keep practicing this
anonymous
  • anonymous
almost got it 100% thanks satellite
anonymous
  • anonymous
ok, i think it is getting easier though right? first part went quick
anonymous
  • anonymous
yw

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