Question

甲、乙兩車同時從A、B兩地相向而行，在距離A地1多千米處相遇，到達(dá)對方出發(fā)點(diǎn)后，立即以原來速度原路返回，又在離A點(diǎn)q多千米處相遇．A、B兩地q距離是______千米．

Answer 1

設(shè)A，B兩地相距x千米，
十0+z0=90（千米），
&nbs大;&nbs大;&nbs大;&nbs大;&nbs大; 十0：（x-十0）=（十x-90）：90，
&nbs大;十x^十-90x-800x+z十00=z十00，
十x^十-890x+z十00-z十00=z十00-z十00，
&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;十x^十-890x+890x=0+890x，
&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大; 十x^十=890x，
&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;十x^十÷x=890x÷x，
&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大; 十x=890，
&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大; 十x÷十=890÷十，
&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大;&nbs大; x=9十．
答：A、B兩地的距離是9十千米．
故應(yīng)填：9十．