Re: [計量] 請問兩題PP的問題
※ 引述《dedust ( ︠ 臈臈ﰩ》之銘言:
: On a certain sight-seeing tour, the ratio of the number of women to the
: number of children was 5 to 2. What was the number of men on the sight-seeing
: tour?
: (1) On the sight-seeing tour, the ration of the number of children to the
: number of men was 5 to 11.
: (2) The number of women on the sight-seeing tour was less than 30
sol:
已知 w:c = 5:2, 求 the number of men on the sight seeing tour
(1) c:m = 5:11 ---> the ratio of women to children to men = 25:10:22;
however, knowing the ratio does not help us know the exact number of men,
so option 1 is invalid.
(2) the number of women < 30 (條件不足)
25:10:22 中, 25r <30 ---> 5r < 6 ---> r = 1
therefore, there were 22 men, 25 women, and 10 children. ------------->C
: Ans:C
: Machines X and Y work a their respective constant rates. How many hours does
: it take machine Y, working alone, to fill a production order of a certain
: size than machine X, working alone?
: (1) Machines X and Y, working together, fill a production order of this size
: in two-thirds the time that machine X, working alone, does
: (2) Machine Y, working alone, fills a production order of this size in twice
: the time that machine X, working alone, does.
Sx = 1/x ; Sy = 1/y 求 Ty - Tx
(1) 1/x + 1/y = 3/2 * 1/x
1/y = 3/2x - 1/x = 3/2x - 2/2x = 1/2x
y = 2x
(2) 1/y *2 = 1/x
2/y = 1/x
2x = y
合併(1) 及(2), 充其量知道 x machine 及 y machine 的比例,
對於兩者所需的時間還是沒有幫助的------------------------------->(E)
: Ans:E
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我盡力回答了 @_@
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※ 編輯: a1985526 來自: 61.66.187.115 (11/04 12:59)
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