Spider marriage is complicated. Sometimes, you just got to mind your own biz.nycmathdad said:I ...
jonah said:Beer soaked non sequitur ramblings follow.
Spider marriage is complicated. Sometimes, you just got to mind your own biz.
Prove It said:I love the question in your signature. It seems like a simple ratio problem. If we set up each ratio as "Proportion of Cask" : "Days"
Man
1 : 20
1/20 : 1
Woman
1 : x
1/x : 1
Together
1/20 + 1/x : 1
(x + 20)/(20x) : 1
1 : (20x)/(x + 20)
But the Together ratio is 1 : 14, so
$\displaystyle \begin{align*} \frac{20\,x}{x + 20} &= 14 \\
20\,x &= 14 \left( x + 20 \right) \\
20\,x &= 14\,x + 280 \\
6\,x &= 280 \\
x &= 46\,\frac{2}{3} \end{align*}$
So it will take the woman 46 hours and 40 minutes to finish the cask on her own.
It amazes me that people who took the time to solve my two preposterous signature questions were able to control their laughter after seeing them for the first time.Country Boy said:I think I did this before, but since Prove It brings it up:
" If one priest can pray a soul out of purgatory in 5 hours, while it takes a second priest 8 hours, how long will it take if the two priests pray together?"
So one priest prays at the rate of "one soul per 5 hours"" or "1/5 soul per hour" and the other at the rate of "one soul per eight hours" or "1/8 soul per hour". When they pray together, their rates add (I think that's stated in the bible) so 1/5+ 1/8= 8/40+ 5/40= 13/40". So it will require 40/13= 3 and 1/40 hour= 3 hours and 1.5 minutes.
The man drinks the cask in 20 days.A man drink a cask of wine in 20 days.
If his wife drinks with him, it take only 14 days.
How long does it take for the wife alone?
When two people, or machines, etc. do something together, their rates add. Let the number of days the wife would take to drink a caskof wine be "x". Then her rate is $\frac{1}{x}$ "days per cask. Her husband's rate is $\frac{1}{20}$ and their rate together is $\frac{1}{14}$. We have $\frac{1}{x}+ \frac{1}{20}= \frac{1}{14}$. Multiply by the least common multiple of the denominators, 140x.A man can drink a cask of wine in 20 days, but if his wife drinks with him it will take only 14 days—how long would it take for the wife alone?
This is even simpler, almost an arithmetic problem. The first priest prays at the rate $\frac{1}{5}$ "soul per hour" and the second priest prays at the rate of $\frac{1}{8}$ "soul per hour". Together they pray at the rate of $\frac{1}{5}+ \frac{1}{8}=\frac{8}{40}+ \frac{5}{40}= \frac{13}{40}$ "soul per hour". Together it would take $\frac{40}{13}$ or 3 and 1/13 "hour per soul".If one priest can pray a soul out of purgatory in 5 hours, while it takes a second priest 8 hours, how long will it take if the two priests pray together?
Don't post your personal opinions in the Chat Room and you'll probably do just fine.nycmathdad said:I have decided to use this forum mainly to increase my word problems skills. Of course, I will make use of this forum for mathematics in general but word problems set up will be my main focus. I hope to see your reply.
topsquark said:Don't post your personal opinions in the Chat Room and you'll probably do just fine.
-Dan
Wow. I've been away for a while!skeeter said:he’s already been banned …
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