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Friday Puzzle -- three new circuits

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Friday Puzzle -- three new circuits

#1

Friday Puzzle -- three new circuits

Alex Y

That last one might have been too easy.

An electrician has installed three new circuits in your house, controlling the wall outlets in three upstairs rooms. You plug floor lamps (which are known to be good) in each room and turn them on, but find no juice. You go to the basement and find the three new circuit breakers, all off, but unlabeled. The only thing you have to test the three circuits is the three floor lamps, and you cannot see from the basement if any of them are lit, nor do you have an assistant to call out to you; you will have to make the trip upstairs to see which if any of the lamps are lit at any time.

What is the fewest number of trips up the stairs you can make to correctly label the three new circuits, and how do you do it?

Re: Friday Puzzle -- three new circuits

#2

Re: Friday Puzzle -- three new circuits

flbuckeye

flip two on go up and see whats off. label that one and flip one of the two previously flipped and go up to see how to label the box. two trips.

Re: Friday Puzzle -- three new circuits

#3

 


Re: Friday Puzzle -- three new circuits

#4

Re: Friday Puzzle -- three new circuits

Larry Barrett

This seems like a poor way to proceed, but it might work with just one trip.

Suppose you rewire one lamp to tie the two wires together.

Then, go to the basement, close the circuit breakers one at a time; one will trip, because of the short in the lamp. Lable that breaker.

Then close one of the other breakers, go upstairs to see which lamp is on (and fix the mis-wired lamp while you are at it). Return to the basement to lable the closed breaker, and to close and lable the third breaker.

Re: Friday Puzzle -- three new circuits

#5



Alex Y

Still sounds like two trips.

Re: Friday Puzzle -- three new circuits

#6

Think outside the box on this one


Re: Friday Puzzle -- three new circuits

#7

Hint

Alex Y

Keep up the guesses, and I will tell you if you are getting close. So far, neither guess is even warm.

Re: Friday Puzzle -- three new circuits

#8

zero

Bill Earl

Put 25, 50 and 100 watt bulbs in each of the three lamps. Turn on each of the breakers and look how fast the meter spins.

Re: Friday Puzzle -- three new circuits

#9

Clever

Alex Y

But I'd argue that that is at least one. You are in the basement when the problem of unlabeled circuits presents itself, so you have to go back upstairs to put in the three sizes of bulbs. And you probably have to climb stairs out of the basement to go look at the meter, but that is not given.

Re: Friday Puzzle -- three new circuits

#10

Solution

Alex Y

Bill got a solution that works with only one climbing of stairs, at least if the meter is accessible from the basement.

The solution I was looking for was:

Label the circuit breakers #1, #2, and #3, and turn on #1 and #2.

Don't you have something in the basement that you were supposed to clean up/organize, etc., but have never gotten around to it? Do that for ten minutes.

Turn off circuit breaker #2 and go upstairs.

The room with the light on is circuit #1, the dark room with the warm light is #2, and the dark room with the cool light is #3.

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