Предмет: Алгебра, автор: ananas6969

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Автор ответа: Regent1828
0
S=16 км                        S=vt    
t=11/3 ч                         t движения = t - t ост. =11/3 -2/3 = 3 ч. = t₁ + t₂
t ост.=2/3 ч                         
t по теч. = t₁                  S = t₁(v₁+v₂)    =>  t₁ = S/ (v₁+v₂)   
t против = t₂                  S = t₂(v₁-v₂)     =>  t₂ = S/ (v₁-v₂)
v₁=12км/ч                      
---------------                   t₁ = 16/ (12+v₂)
v₂=?                               t₂ = 16/ (12-v₂)
                                  
                                     Так как t = t₁ + t₂ = 3  =>  3 = 16/(12+v₂)  +  16/(12-v₂) 
                                                          [16(12-v₂) + 16(12+v₂)] / [(12+v₂)(12-v₂)] = 3
                                                           384/ (144-v₂²) = 3
                                                           144-v₂² = 384/3 = 128
                                                           v₂² = 16
                                                           v₂ = 4
Скорость течения реки 4 км/ч
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