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國二數學5題 - 10點
Jan 23rd 2014, 11:18
(1) 有兩列車(x,y),一長92公尺,一長84公尺,相向而行,需時2秒,如一車追它車,自追及到超過需10秒,則分別求出這二列車的秒速?
Ans:
92+84=176=2*(x+y) => x+y=88
176=10(x-y) => x-y=17.6
Add: 2x=105.6 => x=52.8(m/s).....ans
y=52.8-17.6=35.2(m/s).....ans
(2) 小華的爸爸說:「我的年齡是二位數,將這二位數的個位數字與十位數字對調後,用3去除,再加上34,就等於我的年齡了」,那麼小華的爸爸是多少歲
Ans:
10x+y=(10y+x)/3+34 => 30x+3y=10y+x+102
29x=7y+102 => y(x)=(29x-102)/7
y(4)=2.....ans=42歲
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