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#1 2006-03-09 17:56:30
- ganesh
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Ration, Proportions, Work, Manpower
RPWM # 1
A can complete a piece of work in 4 days. B takes double the time taken by A. C takes double that of B, and D takes double that of C to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. How are the four paired?
Character is who you are when no one is looking.
#2 2006-03-09 17:58:17
- ganesh
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Re: Ration, Proportions, Work, Manpower
RPWM # 2
A, B and C went to buy things from a wholesale market. They had a combined sum of $ 900. A spent 80%, B spent 70% and C spent 75% of their respective amounts. Now the ratio of amounts left with them is 4 : 9 : 10. Find the ratio of amounts they had in the beginning.
Character is who you are when no one is looking.
#4 2006-03-11 02:13:39
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Re: Ration, Proportions, Work, Manpower
Excellent, Ashwil! 
Character is who you are when no one is looking.
#5 2006-03-12 02:40:11
- ganesh
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Re: Ration, Proportions, Work, Manpower
RPWM # 3
Three vessels contain mixtures of milk and water in the ratio 3:1, 4:1, and 5:1. The contents of the three vessels are mixed in the ratio x:y:1. If the resulting mixture contains milk and water in the ratio 7:1, find y in terms of x.
Character is who you are when no one is looking.
#6 2006-07-13 07:09:02
- All_Is_Number
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Re: Ration, Proportions, Work, Manpower
Last edited by All_Is_Number (2006-07-13 07:10:13)
You can shear a sheep many times but skin him only once.
#7 2006-07-13 07:24:50
- All_Is_Number
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Re: Ration, Proportions, Work, Manpower
ganesh wrote:
RPWM # 3
Three vessels contain mixtures of milk and water in the ratio 3:1, 4:1, and 5:1. The contents of the three vessels are mixed in the ratio x:y:1. If the resulting mixture contains milk and water in the ratio 7:1, find y in terms of x.
I'm not sure there is a valid solution to this problem. If 3:1 implies 3 parts milk to one part water, and 4:1 implies 4 parts milk to one part water, etc; there is no way to produce a solution of seven parts milk to one part water with the three solutions available. They will all have too much water. On the other hand, if 3:1 means three parts water to one part milk, etc; all possible solutions will have too much milk. One of the initial solutions must have a ratio higher than 7:1 in order to end up with a solution of 7:1. As the problem currently stands, I believe there are no real solutions.
You can shear a sheep many times but skin him only once.
#8 2006-07-13 10:02:41
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Re: Ration, Proportions, Work, Manpower
I think that's right, AllIs.
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
#10 2011-03-01 19:11:42
- G-man
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Re: Ration, Proportions, Work, Manpower
#3 isn't a valid problem because the ratio of the final mixture Should be between 3:1 & 5:1.
Still I calculated this.
Last edited by G-man (2011-03-01 19:13:36)
Maths!......
