Ответ:
10 5/13 км/ч; 14 3/13 км/ч
Объяснение:
пусть скорость лодки х,
скорость реки у
![\left \{ 2{(x+y) + 1,5(x-y) = 55} \atop {0,5{(x+y) + 2(x-y) = 30}} \right. \left \{ 2{(x+y) + 1,5(x-y) = 55} \atop {0,5{(x+y) + 2(x-y) = 30}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%202%7B%28x%2By%29%20%2B%201%2C5%28x-y%29%20%3D%2055%7D%20%5Catop%20%7B0%2C5%7B%28x%2By%29%20%2B%202%28x-y%29%20%3D%2030%7D%7D%20%5Cright.)
![\left \{ 2x+2y + 1,5x-1,5y = 55} \atop {0,5x+0,5y + 2x-2y = 30}} \right. \left \{ 2x+2y + 1,5x-1,5y = 55} \atop {0,5x+0,5y + 2x-2y = 30}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%202x%2B2y%20%2B%201%2C5x-1%2C5y%20%3D%2055%7D%20%5Catop%20%7B0%2C5x%2B0%2C5y%20%2B%202x-2y%20%3D%2030%7D%7D%20%5Cright.)
![\left \{ 3,5x+0,5y = 55} \atop {2,5x-1,5y = 30}} \right. \left \{ 3,5x+0,5y = 55} \atop {2,5x-1,5y = 30}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%203%2C5x%2B0%2C5y%20%3D%2055%7D%20%5Catop%20%7B2%2C5x-1%2C5y%20%3D%2030%7D%7D%20%5Cright.)
![\left \{ 10,5x+1,5y = 165} \atop {2,5x-1,5y = 30}} \right. \left \{ 10,5x+1,5y = 165} \atop {2,5x-1,5y = 30}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%2010%2C5x%2B1%2C5y%20%3D%20165%7D%20%5Catop%20%7B2%2C5x-1%2C5y%20%3D%2030%7D%7D%20%5Cright.)
13x = 185
![x = 14 \frac{3}{13} x = 14 \frac{3}{13}](https://tex.z-dn.net/?f=x%20%3D%2014%20%5Cfrac%7B3%7D%7B13%7D)
y = (55-3,5*(185/13)) / 0,5 = (55-(35/10)*(185/13)) * 2 = 110 - (35/5)*(185/13) =
= 110 - 7*(14 + 3/13) = 110 - 98 - 21/13 = 12 - 1 - 8/13 = 11 - 8/13 = 10 + 5/13 = ![10\frac{5}{13} 10\frac{5}{13}](https://tex.z-dn.net/?f=10%5Cfrac%7B5%7D%7B13%7D)
![y = 10\frac{5}{13} y = 10\frac{5}{13}](https://tex.z-dn.net/?f=y%20%3D%2010%5Cfrac%7B5%7D%7B13%7D)
суров ваш учитель