results

来源: 2008-09-24 05:43:35 [旧帖] [给我悄悄话] 本文已被阅读:

I guess:

A(0)---a------b-----c----d----e-----B(1000)

1. take #4 and #5 to b
2. go back, pick #3 and meet #2 at a
3. change #3 and #4 when meet #4 at c
4. leave #4 at e
5. go back to meet #3 at d

then all persons arrive B at same time (#1 is the driver).

We have 6 varables a,b,c,d,e and the total time t.

We can have below equastions:

(1). 10t=b+(b-a)+(e-a)+(e-d)+(1000-d) // travel of #1
(2). t=a/2+(e-a)/10+(e-d)/10+(1000-d)/10 // travel of #2
(3). t=a/2+(c-a)/10(d-c)/3+(1000-d)/10 // travel of #3
(4). t=b/10 +(c-b)/4+(e-c)/10+(1000-e)/4 // travel of #4
(5). t=b/10 +(1000-b)/5 // travel of #5

(6). (c-b)/v4=(b-a)/10+(c-a)/10

The results:

t=167.5

a=108.2
b=324.7
c=613.3
d=717.2
e=838.4