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OpenStudy (muscrat123):
maybe :)
OpenStudy (anonymous):
haha :) Hold on please
OpenStudy (muscrat123):
put the question in the question section though plz - edit the ?
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Jean and Mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete it in 12 hours. Their supervisor thinks that the job will take 10 hours to complete if they work together. Explain each step in solving this equation, and determine if the supervisor is correct or not.
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OpenStudy (anonymous):
The "edit question" isn't working. I typed my question but it won't let me submit it.
OpenStudy (muscrat123):
oh ok.
OpenStudy (muscrat123):
so jean fills 1/8 of the pool per hour. do u understand that?
OpenStudy (muscrat123):
@KaseyClinta
OpenStudy (anonymous):
yes!
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OpenStudy (muscrat123):
ok. so then for mark.
OpenStudy (anonymous):
Alright:)
OpenStudy (welshfella):
Find rate of filling for each person
Jean fills pool on 8 hrs
IN hour she fills 1/8 of the pool
Mark fills 1/12 in 1 hour
together
let them they take x hours
so we have
1/8 + 1/12 = 1/x
Solve for x
OpenStudy (muscrat123):
does that help? ^^^^^^^^^^^^^^^^^^^^^^^
OpenStudy (anonymous):
yes. So the LCM would be 24x?
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OpenStudy (welshfella):
yes
OpenStudy (anonymous):
So I multiply each fraction by that correct?
OpenStudy (welshfella):
yes
OpenStudy (anonymous):
alright, hold on
OpenStudy (muscrat123):
youre doing great!
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OpenStudy (anonymous):
3x/24x + 2x/24x =24/24x
OpenStudy (anonymous):
Thanks:)
OpenStudy (anonymous):
@muscrat123
OpenStudy (muscrat123):
yes?
OpenStudy (anonymous):
what do I do now?
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OpenStudy (anonymous):
@Kash_TheSmartGuy @Jhannybean @freckles
OpenStudy (anonymous):
5x=24 ??
OpenStudy (welshfella):
well each fraction has a denominator of 24x
yes thats right
OpenStudy (anonymous):
So what would be the answer?
OpenStudy (welshfella):
divide both sides by 5 to get x = ?
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OpenStudy (anonymous):
0.208
OpenStudy (welshfella):
24 / 5 = 0.208????
OpenStudy (anonymous):
4.8 @welshfella
OpenStudy (welshfella):
yea that's it
4 .8 hours
OpenStudy (anonymous):
So then the guy would be wrong, right?
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