All Lighthouses
Wednesday, August 31st, 2011all lighthouses
three lighthouses on the coast.?
the first light shines for 3 seconds ,then is off for three seconds.
the second light shines for 4 seconds then is off for 4 seconds.
the third light shines for 5 seconds , then is off for 5 seconds .
all three lighthouses have just come on together.
when is the first time that all three lights will be off?
when is the next time that all three lights will come on at the same moment
You can work out the answers like this, where a 1 is on, and 0 is off:
#1 - 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0
#2 - 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0
#3 - 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0
When you find a 1 at the same place in all three lines, the lights will all be on at the same time. Likewise, if you find a 0 in all three lines at the same place, the lights will all be off at the same time.
You answers are within the small sample that I have included.
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