Question

一艘轮船从某江上游的A地匀速驶到下游的B地用了10小时...怎么做?

Answer 1

顺流速度=U+3
逆流速度=U-3
则距离=10(U+3)
所以逆流时间是10(U+3)/(U-3)
从B地匀速返回A地用了不到12小时
但肯定大于10小时
所以10<10(U+3)/(U-3)<12
显然U>3,U-3>0
10<10(U+3)/(U-3)<12
1<(U-3+6)/(U-3)<1.2
1<1+6/(U-3)<1.2
0<6/(U-3)<0.2
(U-3)/6>1/0.2
(U-3)/6>5
U-3>30
U>33

Answer 2

顺流速度=U+3
逆流速度=U-3
则距离=10(U+3)
所以逆流时间是10(U+3)/(U-3)
从B地匀速返回A地用了不到12小时
但肯定大于10小时
所以10<10(U+3)/(U-3)<12
显然U>3,U-3>0
10<10(U+3)/(U-3)<12
1<(U-3+6)/(U-3)<1.2
1<1+6/(U-3)<1.2
0<6/(U-3)<0.2
(U-3)/6>1/0.2
(U-3)/6>5
U-3>30
U>33

或者我弄的简单一点：（u+3)×10＜（u-3)×12
10u+30＜12u-36
66＜2u
u＞千米/小时
即u满足大于33千米/小时

Answer 3

10<10(U+3)/(U-3)<12
1<(U-3+6)/(U-3)<1.2
1<1+6/(U-3)<1.2
0<6/(U-3)<0.2
(U-3)/6>1/0.2
(U-3)/6>5
U-3>30
U>33

Answer 4

设路程为S。

S/(U+3)=10 S=10(U+3)

10<S/(U-3)<12

10<10(U+3)/(U-3)<12

U>33