艇下行24千米到达逆流回来时间共3小时20分,水速为3km/h艇在静水中速为?顺流和逆流各时间?
帮帮忙
帮帮忙
设船在静水中的速度为x km/h
24/(x+3)+24/(x-3)=10/3
12/(x-3)+12/(x+3)=5/3
36(x+3)+36(x-3)=5(x+3)(x-3)
72x=x^2-45
x^2-72x-45=0
(x-15)(5x+3)=0
x1=15,x2=-5/3(舍去)
24/(15-3)=2h
24/(15+3)=4/3(h)
24/(x+3)+24/(x-3)=10/3
12/(x-3)+12/(x+3)=5/3
36(x+3)+36(x-3)=5(x+3)(x-3)
72x=x^2-45
x^2-72x-45=0
(x-15)(5x+3)=0
x1=15,x2=-5/3(舍去)
24/(15-3)=2h
24/(15+3)=4/3(h)



