Solved IB ACIO Question
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In Ravi’s clock shop, two clocks were brought for repairs. One clock has the cuckoo coming out every sixteen minutes, while the other one has the cuckoo coming out every eighteen minutes. Both cuckoos come out at 12.00 noon. When will they both come out together again?
Step-by-Step Solution
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The cuckoos come out together initially at 12:00 noon. The first clock’s cuckoo comes out every 16 minutes and the second every 18 minutes. To find when they will both come out together again, calculate the least common multiple (LCM) of 16 and 18. The LCM of 16 and 18 is 144 minutes. Adding 144 minutes (2 hours and 24 minutes) to 12:00 noon gives 2:24 PM as the next time both cuckoos will come out simultaneously.