[計量] 請教一題數學

看板GRE (GRE入學考試)作者 (lightstar)時間15年前 (2011/05/24 21:01), 編輯推噓3(309)
留言12則, 4人參與, 最新討論串20/21 (看更多)
在做計量時遇到最大的問題是文字提看不懂題目敘述 Q.O 可以請教版上高手 這一題的題目在問什麼嗎? 看了好幾還是看不太懂... If a motorist had driven 1 hour longer in a certain day and at average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would be have covered than he actually did if he had driven 2 hours longers and at an average rate of 10 miles per hour faster on that day? (A) 100 (B) 120 (C) 140 (D) 150 (E) 160 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.112.63.131

05/24 21:13, , 1F
答案是D嗎?
05/24 21:13, 1F

05/24 21:13, , 2F
答案是D吧
05/24 21:13, 2F

05/24 21:14, , 3F
這又是假設語氣的問題:如果一個motorist多開一小時
05/24 21:14, 3F

05/24 21:15, , 4F
然後時速也增加5miles per hour,那麼他將可以比原先
05/24 21:15, 4F

05/24 21:15, , 5F
可以開的路程多開70miles
05/24 21:15, 5F

05/24 21:17, , 6F
所以由第一段可以先列式 (t+1)(v+5)-dv=70
05/24 21:17, 6F

05/24 21:18, , 7F
得v+5t=65 v是原本的時速,t是原本路程所要花的時間
05/24 21:18, 7F

05/24 21:19, , 8F
答案是D沒有錯
05/24 21:19, 8F

05/24 21:19, , 9F
同樣方法列第二個式子(t+2)(v+10)-dv 展開後會得到
05/24 21:19, 9F

05/24 21:20, , 10F
2v+10t+20 把第一式的v+5t帶進去則可得答案
05/24 21:20, 10F

05/24 21:25, , 11F
謝謝樓上的解答!
05/24 21:25, 11F

05/24 21:32, , 12F
我計量可能要200分了T___T
05/24 21:32, 12F
文章代碼(AID): #1Dswm_4i (GRE)
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文章代碼(AID): #1Dswm_4i (GRE)