Monday Math Madness #34: Crossing a Bridge
08 Jun 2009 Quan Quach 8 comments 1,107 views
Hey everyone, this is the last iteration of Monday Math Madness at Blinkdagger. We hope you guys all had fun for the past year or so. Good luck to all! Without further ado . . . here is the final problem!
The Problem Statement
Daniel, Quan, and Sol need to cross a bridge. Daniel can cross the bridge in 15 minutes, Quan can cross in 8 minutes, and Sol can cross in 3 minutes. There is also a bicycle available and any person can cross the bridge in 1 minute with the bicycle. What is the shortest time that all three people can get across the bridge?
Assume that each person travels at his own constant rate. In addition, assume that mounting and dismounting the bicycle is instantaneous.
The Prize
The winner will receive a 10 dollar gift certificate to Amazon.com!
The Rules
- Email your answers to mondaymathmadness at gmail dot com.
- Inelgible for any one person to win more than once per year. But you should still submit your answer!
- Answer must be explained. You must show your work! We will accept answers in the form of a MATLAB script as well. We will be the final judge on whether an answer was properly explained or not.
- The deadline to submit answers is June 15th 2009, Monday 11:59 PM Pacific Standard Time
- The winners will be chosen randomly from all the submittals using a random number generator.
- The winner will be announced at 9:00 AM PST June 19th, 2009.
- Comments for this post should only be used to clarify the problem. Please do not discuss ANY potential solutions.
- Please spread the word about our contest by stumbling this webpage!
8 Responses to “Monday Math Madness #34: Crossing a Bridge”
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Include MATLAB code in your comment by doing the following:
<pre lang="MATLAB">
%insert code here
</pre>
Can the bicycle change riders in the middle of the bridge, or only at one of the two sides?
Do all three people and the bicycle start on the same side of the bridge?
Yes, all three people and bike start on the same side
Quan, can all three people cross at the same time? Also, if so, can we assume that at a given distance on the bridge, a walker can switch over to the bicycle?
Yes, the bridge is very sturdy and can support all 3 people and the bike all at once.
Good Day,
I download m-file for save function, I download it from http://blinkdagger.com/matlab/matlab-gui-tutorial-saving-plots-within-gui ,
but when I save the image, it save all the frame, like the image in the attachment,
please help me, how to save only the target image without the white space.
I am looking for replies
Thanks a lot
[...] bridge/flashlight problem, but it was actually a little more complicated than that one. You can view the problem statement here. As mentioned previously, this is the last MMM to be conducted here at blinkdagger. We appreciate [...]
Darn sad to hear that.