Решение смотри в приложении
Время до встречи Т
Скорость первого х
Скорость второго у
Т умн на х=48у
С другой стороны
Т умн на у=12х
48у/х=12х/у
Х=2у
Т=48у/2у=24 мин
Первый шел 24+12=36мин
<span>Второй 24+48=72мин</span>
![\frac{x^2}{3}-\frac{7x}{18}+4=5\frac{1}{9}\\\\\frac{x^2}{3}-\frac{7x}{18}+4=\frac{46}{9}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B3%7D-%5Cfrac%7B7x%7D%7B18%7D%2B4%3D5%5Cfrac%7B1%7D%7B9%7D%5C%5C%5C%5C%5Cfrac%7Bx%5E2%7D%7B3%7D-%5Cfrac%7B7x%7D%7B18%7D%2B4%3D%5Cfrac%7B46%7D%7B9%7D)
Умножаем обе части уравнения на 18.
![\frac{18*x^2}{3}-\frac{18*7x}{18}+18*4=\frac{18*46}{9}\\\\6x^2-7x+72=92\\\\6x^2-7x+72-92=0\\\\6x^2-7x-20=0\\\\\\D=b^2-4ac\\\\D=49-4*6*(-20)=49+480=529=23^2\\\\x_1=\frac{7-23}{12}=-\frac{16}{12}=-1\frac{1}{3}\\\\x_2=\frac{7+23}{12}=\frac{30}{12}=2\frac{1}{2}=2,5](https://tex.z-dn.net/?f=%5Cfrac%7B18%2Ax%5E2%7D%7B3%7D-%5Cfrac%7B18%2A7x%7D%7B18%7D%2B18%2A4%3D%5Cfrac%7B18%2A46%7D%7B9%7D%5C%5C%5C%5C6x%5E2-7x%2B72%3D92%5C%5C%5C%5C6x%5E2-7x%2B72-92%3D0%5C%5C%5C%5C6x%5E2-7x-20%3D0%5C%5C%5C%5C%5C%5CD%3Db%5E2-4ac%5C%5C%5C%5CD%3D49-4%2A6%2A%28-20%29%3D49%2B480%3D529%3D23%5E2%5C%5C%5C%5Cx_1%3D%5Cfrac%7B7-23%7D%7B12%7D%3D-%5Cfrac%7B16%7D%7B12%7D%3D-1%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5Cx_2%3D%5Cfrac%7B7%2B23%7D%7B12%7D%3D%5Cfrac%7B30%7D%7B12%7D%3D2%5Cfrac%7B1%7D%7B2%7D%3D2%2C5)
Ответ: {- 1 ¹/₃ ; 2,5}