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Australian AMC 2024 - Junior Question 30

AMC AUSTRALIA · Australian AMC 2024 - Junior

Question 30

Tim uses plug-in timers to automate his indoor plant lighting. Each timer has a plug on the back, a socket on the front, and a motorised dial that rotates once for every 24 hours that the plug has power. When the time on the dial is between 9:00 and 17:00, the timer switch is on, so that any power on the plug is switched through to the socket. For fun, he plugs together three of his timers, all set to time 0:00, with a lamp plugged into the front socket. How many hours until the lamp turns on?

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