Alex, Bob, Carol and Daniel must cross a rickety bridge at night before next morning; they all begin on the same side. It is known that an explosion is very likely to happen any time after 51 minutes. They have one flashlight. A maximum of two people can cross the bridge at one time. Any party that crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth by a person until all of them cross to the other end. Alex takes 3 minutes to cross the bridge, Bob takes 6 minutes, Carol takes 10 minutes, and Daniel takes 30 minutes. A pair must walk together at the slower person's pace. Find a way to get all of themto cross the bridge. In your answer, you must show how they cross the bridge using the most suitable notations from the lecture notes (Unit 2) and you must also show the time taken for each crossing.
Alex, Bob, Carol and Daniel must cross a rickety bridge at night before next morning; they all begin on the same side. It is known that an explosion is very likely to happen any time after 51 minutes. They have one flashlight. A maximum of two people can cross the bridge at one time. Any party that crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth by a person until all of them cross to the other end. Alex takes 3 minutes to cross the bridge, Bob takes 6 minutes, Carol takes 10 minutes, and Daniel takes 30 minutes. A pair must walk together at the slower person's pace. Find a way to get all of themto cross the bridge. In your answer, you must show how they cross the bridge using the most suitable notations from the lecture notes (Unit 2) and you must also show the time taken for each crossing.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Alex, Bob, Carol and Daniel must cross a rickety bridge at night before next morning; they all begin
on the same side. It is known that an explosion is very likely to happen any time after 51 minutes.
They have one flashlight. A maximum of two people can cross the bridge at one time. Any party that
crosses, either one or two people, must have the flashlight with them. The flashlight must be walked
back and forth by a person until all of them cross to the other end. Alex takes 3 minutes to cross the
bridge, Bob takes 6 minutes, Carol takes 10 minutes, and Daniel takes 30 minutes. A pair must walk
together at the slower person's pace. Find a way to get all of themto cross the bridge. In your answer,
you must show how they cross the bridge using the most suitable notations from the lecture notes
(Unit 2) and you must also show the time taken for each crossing.
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