Along the coast there are 3 lighthouses, whose lights can be seen blinking at night by sailors near the shore. The first light shines for 3 seconds then is off for 3 seconds and repeats. The second light shines for 4 seconds then is off for 4 seconds and repeats. The third light shines for 5 seconds then is off for 5 seconds and repeats. All three lights have just come on together. (a) When is the first time the three lights will all be off at the same time? (b) When is the next time all three lights will come on at the same moment? (c) For a sailor off-shore, how many "light-on" blinks will she see between the two times all three come on together?
Along the coast there are 3 lighthouses, whose lights can be seen blinking at night by sailors near the shore. The first light shines for 3 seconds then is off for 3 seconds and repeats. The second light shines for 4 seconds then is off for 4 seconds and repeats. The third light shines for 5 seconds then is off for 5 seconds and repeats. All three lights have just come on together. (a) When is the first time the three lights will all be off at the same time? (b) When is the next time all three lights will come on at the same moment? (c) For a sailor off-shore, how many "light-on" blinks will she see between the two times all three come on together?
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:In part (a) what is the largest number of caramels that Brenda ca
you play your strategy guaranteeing the peppermint patty?
6. Along the coast there are 3 lighthouses, whose lights can be seen blinking at night by
sailors near the shore. The first light shines for 3 seconds then is off for 3 seconds and
repeats. The second light shines for 4 seconds then is off for 4 seconds and repeats.
The third light shines for 5 seconds then is off for 5 seconds and repeats. All three
lights have just come on together.
(a) When is the first time the three lights will all be off at the same time?
(b) When is the next time all three lights will come on at the same moment?
(c) For a sailor off-shore, how many "light-on" blinks will she see between the two
times all three come on together?
Note: Parts (a) and (b) of this problem are found in the homework of school children
ages 7-11 in the U.K. In May, 2018 the Daily Mail reported on this problem: "Ridicu-
lous maths problem intended for PRIMARY students leaves parents baffled
one can agree on the answer."
and no
http://www.dailymail.co.uk/femail/article-5723087/
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