SOLUTION: Two cars started at sunrise and each travelled at a constant speed,one from city A to city B and the other from city B to city A on the same highway.they met at noon and without st

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Question 1033486: Two cars started at sunrise and each travelled at a constant speed,one from city A to city B and the other from city B to city A on the same highway.they met at noon and without stopping and arrived at city B at 4 p.m and at city A at 9 p.m.required:Determine the sunrise time for that day
Found 2 solutions by ikleyn, ankor@dixie-net.com:
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Two cars started at sunrise and each traveled at a constant speed,one from city A to city B and the other from city B to city A
on the same highway. They met at noon and highlight%28continuining%29 without stopping highlight%28cross%28and%29%29 arrived at city B at 4 p.m and at city A at 9 p.m.
Determine the sunrise time for that day
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O, well known and very familiar problem!


See the lesson Another unusual Travel problem (Arnold's problem on two walking old women) in this site.



Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars started at sunrise and each travelled at a constant speed,
one from city A to city B and the other from city B to city A on the same highway.
they met at noon and without stopping and arrived at city B at 4 p.m and at city A at 9 p.m.
required: Determine the sunrise time for that day
:
let t = time from sunrise to noon
then
t/9 = Ratio of the time of each from A to the noon position
and
4/t = Ratio of the time of each from the noon position to B
:
these ratios should be equal, therefore:
t%2F9 = 4%2Ft
Cross multiply
t^2 = 4 * 9
t^2 = 36
t = 6 hrs
Sunrise would be 6 hrs from noon which is 6 AM