甲、乙兩人合作一工程x天可完成,比甲獨作早12天完成,比乙獨作早27天 完成,求甲、乙獨作各需幾天完工? Sol 甲獨作x+12天完成 乙獨作x+27天完成 So 1/(x+12)+1/(x+27)=1/x x(x+27)+x(x+12)=(x+12)(x+27) 2x^2+39x=x^2+39x+324 x^2-324=0 (x-18)(x=18)=0 x=18 or x=-18(不合) 甲獨作30天完成 乙獨作45天完成
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